Academics
Focus Areas
Program Highlight
Master’s Program
STRUCTURE
Coursework + Thesis
DURATION
2 Years
Tuition Fee
Thai Students
Total: 130,000 THB
32,500 THB/sem
Foreign Students
Total: 190,000 THB
47,500 THB/sem
* Excl. the viva voce exam fee
Year 1, Semester 1
Research Methodology in Science and Technology
ระเบียบวิธีวิจัยทางวิทยาศาสตร์ และเทคโนโลยี⠀⠀⠀
Code: 897500
3 Credits
Details
Definition, characteristic, goal, type, and process of research; research problem determination; variables and hypothesis; data collection; data analysis; research proposal and research report writing; research evaluation; research application; ethics of researchers; and research techniques in science and technology
Mathematical Structures for Theoretical Physicists
โครงสร้างเชิงคณิตศาสตร์สำหรับนักฟิสิกส์ทฤษฎี
Code: 897501
2 Credits
Details
Generic features of mathematical structures; Hilbert Space; Manifolds; Tensors on manifolds; Lie group; Symplectic geometry; Probability theory
Non-Relativistic Quantum Mechanics⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบไม่สัมพัทธภาพ⠀⠀⠀⠀⠀⠀
Code: 897520
3 Credits
Details
The Schrödinger equation; Dirac notation; Hilbert space; self-adjoint operators; postulates of quantum mechanics; the harmonic oscillator; two-level systems; quantum entanglement; symmetries and transformations; orbital and spin angular momenta; addition of angular momenta; the hydrogen atom; perturbation theory; second quantization and field quantization
Classical Dynamics⠀⠀⠀⠀⠀ ⠀⠀ ⠀ ⠀⠀
พลศาสตร์คลาสสิก ⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897561
3 Credits
Details
Principles of Newtonian mechanics; D’Alembert principle; Lagrange equations of motion; variational principles; the kinematic of rigid-body; Eigenvalue equation for oscillations; Hamilton equations of motion; canonical transformations; generating functions; Liouville Theorem; Hamilton-Jacobi theory; mechanics for continuous systems; Noether’s theorem
Year 1, Semester 2
Mathematical Skills for Theoretical Physicists
ทักษะทางคณิตศาสตร์สำหรับนักฟิสิกส์⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897502
2 Credits
Details
Index notation; ordinary and partial differential equations; special functions; Fourier transforms; Laplace transforms; complex variables, contour integrals, residue theorem, Cauchy principal value, and evaluation of definite integrals with contour integral
Thermodynamics and Statistical Mechanics
อุณหพลศาสตร์ และกลศาสตร์เชิงสถิติ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897511
3 Credits
Details
Entropy; Liouville’s theorem, ergodic systems; equilibrium thermodynamics; thermodynamic state variables; the microcanonical, canonical, and grand canonical ensemble; ideal quantum gases; blackbody radiation; Fermi gas; Bose-Einstein condensate; mean-field theory and critical phenomena; Ising model; Landau theory of phase transitions; transient fluctuation theorem; the second law of thermodynamics; black hole thermodynamics
Classical Electrodynamics and Special Relativity
พลศาสตร์ไฟฟ้าคลาสสิก และสัมพัทธภาพพิเศษ ⠀⠀⠀⠀⠀⠀⠀
Code: 897562
3 Credits
Details
Electrostatics, boundary-value problems in electrostatics, Green’s functions and multipole expansions in electrostatics; Magnetostatics, Poynting’s theorem and energymomentum conservation; Maxwell’s equations; gauge transformations; radiating systems and multipolar radiation; special relativity, Lorentz transformations of electromagnetic fields, covariant formulation of electromagnetism; Lagrangian and Hamiltonian formulation of Maxwell’s equations and Lorentz force law; invariance and conservation laws
Thesis 1, Type A 2⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
วิทยานิพนธ์ 1 แผน ก แบบ ก 2 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897591
3 Credits
Details
Developing research instruments and research methodology; and preparing athesis proposal in order to present it to the committee
Seminar⠀⠀⠀⠀
สมมนา
Code: 897599
1 Credits
Details
Seminar presentation and discussion of academic publications in theoretical physics
Year 2, Semester 1
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
Thesis 2, Type A 2
วิทยานิพนธ์ 2 แผน ก แบบ ก 2
Code: 897592
3 Credits
Details
Developing research instruments and research methodology; and preparing a thesis proposal in order to present it to the committee
Year 2, Semester 2
Thesis 3, Type A 2⠀
วิทยานิพนธ์ 3 แผน ก แบบ ก 2
Code: 897593
6 Credits
Details
Collecting data; analyzing data; preparing a progress report in order to present it to the thesis advisor; and preparing the full-text thesis and a research article in order to get published according to the graduation criteria
Compulsory Courses
Mathematical Structures for Theoretical Physicists
โครงสร้างเชิงคณิตศาสตร์สำหรับนักฟิสิกส์ทฤษฎี
Code: 897501
2 Credits
Details
Generic features of mathematical structures; Hilbert Space; Manifolds; Tensors on manifolds; Lie group; Symplectic geometry; Probability theory
Mathematical Skills for Theoretical Physicists⠀⠀
ทักษะทางคณิตศาสตร์สำหรับนักฟิสิกส์ทฤษฎี
Code: 897502
2 Credits
Details
Index notation; ordinary and partial differential equations; special functions; Fourier transforms; Laplace transforms; complex variables, contour integrals, residue theorem, Cauchy principal value, and evaluation of definite integrals with contour integral
Thermodynamics and Statistical Mechanics ⠀⠀⠀⠀
อุณหพลศาสตร์ และกลศาสตร์เชิงสถิติ⠀⠀⠀⠀⠀
Code: 897511
3 Credits
Details
Entropy; Liouville’s theorem, ergodic systems; equilibrium thermodynamics; thermodynamic state variables; the microcanonical, canonical, and grand canonical ensemble; ideal quantum gases; blackbody radiation; Fermi gas; Bose-Einstein condensate; mean-field theory and critical phenomena; Ising model; Landau theory of phase transitions; transient fluctuation theorem; the second law of thermodynamics; black hole thermodynamics
Non-Relativistic Quantum Mechanics⠀ ⠀⠀⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบไม่สัมพัทธภาพ⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897520
3 Credits
Details
The Schrödinger equation; Dirac notation; Hilbert space; self-adjoint operators; postulates of quantum mechanics; the harmonic oscillator; two-level systems; quantum entanglement; symmetries and transformations; orbital and spin angular momenta; addition of angular momenta; the hydrogen atom; perturbation theory; second quantization and field quantization
Classical Dynamics⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
พลศาสตร์คลาสสิก⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897561
3 Credits
Details
Principles of Newtonian mechanics; D’Alembert principle; Lagrange equationsof motion; variational principles; the kinematic of rigid-body; Eigenvalue equation foroscillations; Hamilton equations of motion; canonical transformations; generating functions;Liouville Theorem; Hamilton-Jacobi theory; mechanics for continuous systems; Noether’stheorem
Classical Electrodynamics and Special Relativity
พลศาสตร์ไฟฟ้าคลาสสิก และสัมพัทธภาพพิเศษ
Code: 897562
3 Credits
Details
Electrostatics, boundary-value problems in electrostatics, Green’s functions and multipole expansions in electrostatics; Magnetostatics, Poynting’s theorem and energymomentum conservation; Maxwell’s equations; gauge transformations; radiating systems and multipolar radiation; special relativity, Lorentz transformations of electromagnetic fields, covariant formulation of electromagnetism; Lagrangian and Hamiltonian formulation of Maxwell’s equations and Lorentz force law; invariance and conservation laws
Thesis 1, Type A 2⠀
วิทยานิพนธ์ 1 แผน ก แบบ ก 2
Code: 897591
3 Credits
Details
Developing research instruments and research methodology; and preparing a thesis proposal in order to present it to the committee
Thesis 2, Type A 2
วิทยานิพนธ์ 2 แผน ก แบบ ก 2
Code: 897592
3 Credits
Details
Developing research instruments and research methodology; and preparing athesis proposal in order to present it to the committee
Thesis 3, Type A 2
วิทยานิพนธ์ 3 แผน ก แบบ ก 2
Code: 897593
6 Credits
Details
Collecting data; analyzing data; preparing a progress report in order to present it to the thesis advisor; and preparing the full-text thesis and a research article in order to get published according to the graduation criteria
Research Methodology in Science and Technology ⠀⠀⠀⠀⠀
ระเบียบวิธีวิจัยทางวิทยาศาสตร์ และเทคโนโลยี
Code: 897500
3 Credits
Details
Definition, characteristic, goal, type, and process of research; research problem determination; variables and hypothesis; data collection; data analysis; research proposal and research report writing; research evaluation; research application; ethics of researchers; and research techniques in science and technology
Seminar⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
สัมมนา
Code: 897599
1 Credits
Details
Seminar presentation and discussion of academic publications in theoretical physics
Elective Courses
Green’s Functions and Propagation⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ฟังก์ชันกรีน และการแผ่กระจาย
Code: 897503
3 Credits
Details
Dirac’s delta function; Green’s function for initial-value problems and for boundary-value problems; partial differential equations; time and space variables; Poisson’s equation in physics; Dirichlet problems; Neumann problems; the diffusion equation; simpleharmonic solutions; the propagator and Green’s function; the Schrodinger equation; the wave equation; radiation sources, the Lienard-Wiechert potential, Larmor’s formula; the Helmholtz equation and diffraction; Fourier transformation of the wave equation; the Huygens-Fresnel model of diffraction
Group Theory, Gauge Theories, and Standard Model
ทฤษฎีกรุป ทฤษฎีเกจ และแบบจำลองมาตรฐาน
Code: 897504
3 Credits
Details
Group theory; Isomorphism and Homomorphism; representations; unitarity; reducibility; Lie groups and Lie algebras; exponential map; adjoint representation; SO (3) and SU(2), SU(3); roots and weights; Dynkin diagrams; Young Tableaux for SU(n); Poincare group; scalar vector and spinor representation; gauge theories and local symmetries; spontaneous symmetry breaking; Higgs mechanism; Standard Model and beyond
Dynamical Systems⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ระบบพลวัต
Code: 897505
2 Credits
Details
Phase space of dynamical system; autonomous equations; qualitative analysis; fixed points; stability of fixed points; centre manifold theory; application of dynamical analysis
Special Topics in Mathematical Physics
หัวข้อพิเศษทางฟิสิกส์เชิงคณิตศาสตร์
Code: 897506
3 Credits
Details
Intensive study of interested topics in Mathematical Physics
Relativistic Quantum Mechanics ⠀⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบสัมพัทธภาพ
Code: 897521
3 Credits
Details
Review of quantum mechanics; Klein-Gordon equation; interacting states and asymptotic boundary conditions; particle detection; differential cross sections; optical theorem; Coulomb scattering; functional treatment of scattering theory; Dirac equation; Lorentz covariance; Boosts and spatial rotations; spin; helicity and PCT transformations; general solution of the Dirac equation, massless Dirac particles; physical interpretation; localization and particle content
Quantum Mechanics and Path Integrals
กลศาสตร์ควอนตัม และปริพันธ์ตามวิถี
Code: 897522
2 Credits
Details
Classical action; quantum amplitude; sum over paths; Gaussian integrals; Schrodinger equation; measurements; transition element; applications of path integrals
Advanced Non-Relativistic Quantum Mechanics ⠀⠀⠀⠀⠀⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบไม่สัมพัทธภาพขั้นสูง ⠀⠀⠀⠀⠀⠀
Code: 897523
2 Credits
Details
Approximation methods; time-independent and time-dependent perturbation theory; discrete symmetries; quantum scattering theory; identical particles; second quantization
Introduction to Quantum Information Science and Technology
สารสนเทศเชิงควอนตัมวิทยาศาสตร์และเทคโนโลยีขั้นต้น
Code: 897524
2 Credits
Details
The scope of quantum information science, qubit, quantum cryptography, entanglement, quantum computing, basic quantum algorithms and applications, density operators, open quantum systems and decoherence, protecting quantum information
Quantum Information ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
สารสนเทศเชิงควอนตัม ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897525
3 Credits
Details
Density operators; generalized measurements; quantum circuit model; entanglement and its applications; CHSH inequality; quantum channels; qubit quantum channels; distance measures; classical information theory: typicality, Shannon’s source coding theorem, channel coding theorem and its converse; quantum entropies; typical subspaces; Schumacher’s compression; capacity of a quantum channel; accessible information and Holevo bound
Quantum Computation ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
การคำนวณเชิงควอนตัม
Code: 897526
3 Credits
Details
Classical circuit model and reversible computation; universal gate sets; DeutschJozsa algorithm; Simon’s algorithm; quantum Fourier transform; Shor’s factoring algorithm; Grover’s search algorithm; classical models of computation: Turing machine, classical circuit model, complexity classes P and NP; quantum circuit model and the class BQP; quantum error correction; fault-tolerant quantum computation
Introduction to Quantum Hardware ⠀⠀⠀⠀⠀⠀
ฮาร์ดแวร์เชิงควอนตัมขั้นต้น
Code: 897527
2 Credits
Details
Theoretical and experimental descriptions of super-conducting qubits, trapped atoms and ions, and photonic system
Special Topics in Quantum Information
หัวข้อพิเศษทางสารสนเทศเชิงควอนตัม
Code: 897528
3 Credits
Details
Intensive study of interested topics in Quantum Information
Special Topics in Atomic Physics and Quantum Optics
หัวข้อพิเศษทางฟิสิกส์อะตอม และทัศนศาสตร์เชิงควอนตัม
Code: 897529
3 Credits
Details
Intensive study of interested topics in Atomic Physics and Quantum Optics
Introduction to General Relativity ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
สัมพัทธภาพทั่วไปขั้นต้น ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897551
3 Credits
Details
Special relativity, vector and tensor analysis in special relativity, perfect fluids in special relativity; equivalence principle; introduction to curvature; curved manifolds; physics and curved spacetime; Einstein field equations; Einstein-Hilbert action; introduction to gravitational radiation; Schwarzchild black hole; and cosmology
Introduction to Black Holes ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
หลุมดำขั้นต้น ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897552
3 Credits
Details
Review on general relativity; Schwarzchild solution; spacetime diagram; general form of spherically symmetric solution; rotating black hole; laws of black hole mechanics; Hawking radiation; black hole thermodynamics; greybody factor; and quasinormal modes
Introduction to Modified Gravity Theories ⠀⠀⠀⠀⠀⠀⠀
ทฤษฎีความโน้มถ่วงแบบขยายความขั้นต้น
Code: 897553
3 Credits
Details
Postulate of general relativity; Palatini formalism; Lovelock’s theorem; modified gravity theory from non-minimal coupling; modified gravity theory from higher curvature terms; general relativity with higher-dimensional spacetime; massive gravity theory
Special Topics in Gravity Theories ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
หัวข้อพิเศษทางทฤษฎีความโน้มถ่วง
Code: 897554
2 Credits
Details
Intensive study of interested topics in Gravity Theories
Quantum Field Theory ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ทฤษฎีสนามควอนตัม
Code: 897563
3 Credits
Details
Classical field theory; Lagrangian and Hamiltonian formalism; scalar field theory; quantization of Klien-Gordon theory; interacting phi-4 theory; Feynman diagrams; cross-section and S-matrix; fermionic field theory; quantization of Dirac theory; interacting theories for fermions; functional methods; functional quantization fields; renormalization of phi-4 theory; gauge theories and their quantizations; quantum electrodynamics (QED).
Introduction to String Theory ⠀⠀⠀⠀⠀⠀⠀⠀
ทฤษฎีสตริงขั้นต้น
Code: 897564
3 Credits
Details
The non-relativistic string; relativistic point particle; Nambu-Goto and Polyakov action; equations of motion and boundary conditions; mode expansions; covariant and lightcone quantization; functional quantisation; conformal field theory; Wick’s theorem; state operator correspondence; string interactions; string amplitudes
Introduction to Scattering Amplitudes
แอมพลิจูดของการกระเจิงขั้นต้น
Code: 897565
2 Credits
Details
Dirac spinors; spinor-helicity formalism; Yang-Mills amplitudes and colordecomposition; Parke-Taylor formula; on-shell recursion relations; soft limit and collinear limit; supersymmetry; superamplitudes; Ward identities; color-kinematics duality and double copy; generalized unitarity and loop amplitudes
Geometric Mechanics ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
กลศาสตร์เรขาคณิต
Code: 897566
3 Credits
Details
Introduction to differentiable manifold; differential forms; Lagrangian mechanics; configuration space; tangent bundle; Lagrangian vector field; 1-form representation of the Euler-Lagrange equation; one-parameter group for tangent bundle; Noether theorem; Hamiltonian mechanics; cotangent bundle; Hamiltonian vector field; 2-forms representation of the Hamilton’s equations; one-parameter group for cotangent bundle; canonical transformations; symplectic structure; Liouville Theorem; Leouville-Arnold theorem; Hamiltonian commuting flows, multi-dimensional consistency, Lax pair, zero-curvature condition; Lagrangian 1-form structure; Closure relation
Special Topics in High Energy Physics
หัวข้อพิเศษทางฟิสิกส์พลังงานสูง
Code: 897567
3 Credits
Details
Intensive study of interested topics in High Energy Physics.
Cosmology 1
จักรวาลวิทยา 1
Code: 897571
3 Credits
Details
Cosmological principle; spacetime geometry; the expansion of the Universe; the cosmological redshift; distance measurement in cosmology; energy and matter in the Universe; dynamical expansion; thermodynamics equilibrium processes; recombination and last scattering; cosmological nucleosynthesis, baryonsynthesis and lepton-synthesis; inflation
Cosmology 2
จักรวาลวิทยา 2
Code: 897572
3 Credits
Details
Cosmological perturbations; scalar, vector, and tensor perturbations; gauge transformations; field equation; Fourier decomposition and stochastic initial conditions; conservation theorem; the evolution of cosmological perturbations; linear growth factor; structure formation; anisotropies of the cosmic microwave background
Special Topics in Cosmology
หัวข้อพิเศษทางจักรวาลวิทยา
Code: 897573
3 Credits
Details
Intensive study of interested topics in Cosmology
Data Science for Physicists
วิทยาศาสตร์ข้อมูลสำหรับนักฟิสิกส์
Code: 897581
3 Credits
Details
Descriptive and inferential Statistics; Distributions; Statistical tests; Review of Probability Theory; Probabilistic Distributions; Bayesian Inference; Parameter Estimation; Hypothesis Testing; Correlation analysis; Regression Analysis; Data Visualization; Practical Data Analysis
Introduction to Optimization
การหาค่าเหมาะที่สุดขั้นต้น
Code: 897582
3 Credits
Detaisl
Linear programming, integer linear programming, combinatorial programming; time complexity of various algorithms; state-of-the-art tools; applications in industry; theoretical description of mathematical models; solution finding techniques; hands-on problem solving with modern programming tools
Machine Learning and Applied Optimization
การเรียนรู้ของเครื่อง และการประยุกต์การหาค่าเหมาะที่สุด
Code: 897583
3 Credits
Details
Linear and nonlinear Programming; Constrained Optimization; Markov Chain Monte-Carlo; Kernel Density Estimator; Machine Learning; Regression; Classification; Boltzmann Machine; Introduction to Neural Networks; Deep Learning; basic Natural Language Processing
Special Topics in Computational Physics
หัวข้อพิเศษทางฟิสิกส์เชิงคณนา ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897584
3 Credits
Details
Intensive study of interested topics in Computational Physics
01
Online Application
Complete the application form and upload required documents (e.g., transcripts, degree certificate, English proficiency scores, CV, or research proposals) via the Naresuan University admission system.
02
Confirmation & Fee Payment
Confirm your application details in the system and pay the application fee through the Graduate School payment portal.
03
Document Screening & Interview
The committee reviews the documents, schedules, and conducts an interview assessing background knowledge and research field interests.
04
Results Announcement & Enrollment
Check admission results and follow instructions for initial enrollment (International students will be guided through the NON-ED Visa process)
DOCTORAL PROGRAM
STRUCTURE
Coursework + Thesis
DURATION
2 Years
Tuition Fee
Thai Students
Total: 130,000 THB
32,500 THB/sem
Foreign Students
Total: 190,000 THB
47,500 THB/sem
* Excl. the viva voce exam fee
Year 1, Semester 1
Research Methodology in Science and Technology
ระเบียบวิธีวิจัยทางวิทยาศาสตร์ และเทคโนโลยี⠀⠀⠀
Code: 897500
3 Credits
Details
Definition, characteristic, goal, type, and process of research; research problem determination; variables and hypothesis; data collection; data analysis; research proposal and research report writing; research evaluation; research application; ethics of researchers; and research techniques in science and technology
Mathematical Structures for Theoretical Physicists
โครงสร้างเชิงคณิตศาสตร์สำหรับนักฟิสิกส์ทฤษฎี
Code: 897501
2 Credits
Details
Generic features of mathematical structures; Hilbert Space; Manifolds; Tensors on manifolds; Lie group; Symplectic geometry; Probability theory
Non-Relativistic Quantum Mechanics⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบไม่สัมพัทธภาพ⠀⠀⠀⠀⠀⠀
Code: 897520
3 Credits
Details
The Schrödinger equation; Dirac notation; Hilbert space; self-adjoint operators; postulates of quantum mechanics; the harmonic oscillator; two-level systems; quantum entanglement; symmetries and transformations; orbital and spin angular momenta; addition of angular momenta; the hydrogen atom; perturbation theory; second quantization and field quantization
Classical Dynamics⠀⠀⠀⠀⠀ ⠀⠀ ⠀ ⠀⠀
พลศาสตร์คลาสสิก ⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897561
3 Credits
Details
Principles of Newtonian mechanics; D’Alembert principle; Lagrange equations of motion; variational principles; the kinematic of rigid-body; Eigenvalue equation for oscillations; Hamilton equations of motion; canonical transformations; generating functions; Liouville Theorem; Hamilton-Jacobi theory; mechanics for continuous systems; Noether’s theorem
Year 1, Semester 2
Mathematical Skills for Theoretical Physicists
ทักษะทางคณิตศาสตร์สำหรับนักฟิสิกส์⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897502
2 Credits
Details
Index notation; ordinary and partial differential equations; special functions; Fourier transforms; Laplace transforms; complex variables, contour integrals, residue theorem, Cauchy principal value, and evaluation of definite integrals with contour integral
Thermodynamics and Statistical Mechanics
อุณหพลศาสตร์ และกลศาสตร์เชิงสถิติ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897511
3 Credits
Details
Entropy; Liouville’s theorem, ergodic systems; equilibrium thermodynamics; thermodynamic state variables; the microcanonical, canonical, and grand canonical ensemble; ideal quantum gases; blackbody radiation; Fermi gas; Bose-Einstein condensate; mean-field theory and critical phenomena; Ising model; Landau theory of phase transitions; transient fluctuation theorem; the second law of thermodynamics; black hole thermodynamics
Classical Electrodynamics and Special Relativity
พลศาสตร์ไฟฟ้าคลาสสิก และสัมพัทธภาพพิเศษ ⠀⠀⠀⠀⠀⠀⠀
Code: 897562
3 Credits
Details
Electrostatics, boundary-value problems in electrostatics, Green’s functions and multipole expansions in electrostatics; Magnetostatics, Poynting’s theorem and energymomentum conservation; Maxwell’s equations; gauge transformations; radiating systems and multipolar radiation; special relativity, Lorentz transformations of electromagnetic fields, covariant formulation of electromagnetism; Lagrangian and Hamiltonian formulation of Maxwell’s equations and Lorentz force law; invariance and conservation laws
Thesis 1, Type A 2⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
วิทยานิพนธ์ 1 แผน ก แบบ ก 2 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897591
3 Credits
Details
Developing research instruments and research methodology; and preparing athesis proposal in order to present it to the committee
Seminar⠀⠀⠀⠀
สมมนา
Code: 897599
1 Credits
Details
Seminar presentation and discussion of academic publications in theoretical physics
Year 2, Semester 1
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
วิชาเลือก
รหัสวิชา: 8975xx
x(x-x-x)
Thesis 2, Type A 2
วิทยานิพนธ์ 2 แผน ก แบบ ก 2
Code: 897592
3 Credits
Details
Developing research instruments and research methodology; and preparing a thesis proposal in order to present it to the committee
Year 2, Semester 2
Thesis 3, Type A 2⠀
วิทยานิพนธ์ 3 แผน ก แบบ ก 2
Code: 897593
6 Credits
Details
Collecting data; analyzing data; preparing a progress report in order to present it to the thesis advisor; and preparing the full-text thesis and a research article in order to get published according to the graduation criteria
Compulsory Courses
Mathematical Structures for Theoretical Physicists
โครงสร้างเชิงคณิตศาสตร์สำหรับนักฟิสิกส์ทฤษฎี
Code: 897501
2 Credits
Details
Generic features of mathematical structures; Hilbert Space; Manifolds; Tensors on manifolds; Lie group; Symplectic geometry; Probability theory
Mathematical Skills for Theoretical Physicists⠀⠀
ทักษะทางคณิตศาสตร์สำหรับนักฟิสิกส์ทฤษฎี
Code: 897502
2 Credits
Details
Index notation; ordinary and partial differential equations; special functions; Fourier transforms; Laplace transforms; complex variables, contour integrals, residue theorem, Cauchy principal value, and evaluation of definite integrals with contour integral
Thermodynamics and Statistical Mechanics ⠀⠀⠀⠀
อุณหพลศาสตร์ และกลศาสตร์เชิงสถิติ⠀⠀⠀⠀⠀
Code: 897511
3 Credits
Details
Entropy; Liouville’s theorem, ergodic systems; equilibrium thermodynamics; thermodynamic state variables; the microcanonical, canonical, and grand canonical ensemble; ideal quantum gases; blackbody radiation; Fermi gas; Bose-Einstein condensate; mean-field theory and critical phenomena; Ising model; Landau theory of phase transitions; transient fluctuation theorem; the second law of thermodynamics; black hole thermodynamics
Non-Relativistic Quantum Mechanics⠀ ⠀⠀⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบไม่สัมพัทธภาพ⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897520
3 Credits
Details
The Schrödinger equation; Dirac notation; Hilbert space; self-adjoint operators; postulates of quantum mechanics; the harmonic oscillator; two-level systems; quantum entanglement; symmetries and transformations; orbital and spin angular momenta; addition of angular momenta; the hydrogen atom; perturbation theory; second quantization and field quantization
Classical Dynamics⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
พลศาสตร์คลาสสิก⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897561
3 Credits
Details
Principles of Newtonian mechanics; D’Alembert principle; Lagrange equationsof motion; variational principles; the kinematic of rigid-body; Eigenvalue equation foroscillations; Hamilton equations of motion; canonical transformations; generating functions;Liouville Theorem; Hamilton-Jacobi theory; mechanics for continuous systems; Noether’stheorem
Classical Electrodynamics and Special Relativity
พลศาสตร์ไฟฟ้าคลาสสิก และสัมพัทธภาพพิเศษ
Code: 897562
3 Credits
Details
Electrostatics, boundary-value problems in electrostatics, Green’s functions and multipole expansions in electrostatics; Magnetostatics, Poynting’s theorem and energymomentum conservation; Maxwell’s equations; gauge transformations; radiating systems and multipolar radiation; special relativity, Lorentz transformations of electromagnetic fields, covariant formulation of electromagnetism; Lagrangian and Hamiltonian formulation of Maxwell’s equations and Lorentz force law; invariance and conservation laws
Thesis 1, Type A 2⠀
วิทยานิพนธ์ 1 แผน ก แบบ ก 2
Code: 897591
3 Credits
Details
Developing research instruments and research methodology; and preparing a thesis proposal in order to present it to the committee
Thesis 2, Type A 2
วิทยานิพนธ์ 2 แผน ก แบบ ก 2
Code: 897592
3 Credits
Details
Developing research instruments and research methodology; and preparing athesis proposal in order to present it to the committee
Thesis 3, Type A 2
วิทยานิพนธ์ 3 แผน ก แบบ ก 2
Code: 897593
6 Credits
Details
Collecting data; analyzing data; preparing a progress report in order to present it to the thesis advisor; and preparing the full-text thesis and a research article in order to get published according to the graduation criteria
Research Methodology in Science and Technology ⠀⠀⠀⠀⠀
ระเบียบวิธีวิจัยทางวิทยาศาสตร์ และเทคโนโลยี
Code: 897500
3 Credits
Details
Definition, characteristic, goal, type, and process of research; research problem determination; variables and hypothesis; data collection; data analysis; research proposal and research report writing; research evaluation; research application; ethics of researchers; and research techniques in science and technology
Seminar⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
สัมมนา
Code: 897599
1 Credits
Details
Seminar presentation and discussion of academic publications in theoretical physics
Elective Courses
Green’s Functions and Propagation⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ฟังก์ชันกรีน และการแผ่กระจาย
Code: 897503
3 Credits
Details
Dirac’s delta function; Green’s function for initial-value problems and for boundary-value problems; partial differential equations; time and space variables; Poisson’s equation in physics; Dirichlet problems; Neumann problems; the diffusion equation; simpleharmonic solutions; the propagator and Green’s function; the Schrodinger equation; the wave equation; radiation sources, the Lienard-Wiechert potential, Larmor’s formula; the Helmholtz equation and diffraction; Fourier transformation of the wave equation; the Huygens-Fresnel model of diffraction
Group Theory, Gauge Theories, and Standard Model
ทฤษฎีกรุป ทฤษฎีเกจ และแบบจำลองมาตรฐาน
Code: 897504
3 Credits
Details
Group theory; Isomorphism and Homomorphism; representations; unitarity; reducibility; Lie groups and Lie algebras; exponential map; adjoint representation; SO (3) and SU(2), SU(3); roots and weights; Dynkin diagrams; Young Tableaux for SU(n); Poincare group; scalar vector and spinor representation; gauge theories and local symmetries; spontaneous symmetry breaking; Higgs mechanism; Standard Model and beyond
Dynamical Systems⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ระบบพลวัต
Code: 897505
2 Credits
Details
Phase space of dynamical system; autonomous equations; qualitative analysis; fixed points; stability of fixed points; centre manifold theory; application of dynamical analysis
Special Topics in Mathematical Physics
หัวข้อพิเศษทางฟิสิกส์เชิงคณิตศาสตร์
Code: 897506
3 Credits
Details
Intensive study of interested topics in Mathematical Physics
Relativistic Quantum Mechanics ⠀⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบสัมพัทธภาพ
Code: 897521
3 Credits
Details
Review of quantum mechanics; Klein-Gordon equation; interacting states and asymptotic boundary conditions; particle detection; differential cross sections; optical theorem; Coulomb scattering; functional treatment of scattering theory; Dirac equation; Lorentz covariance; Boosts and spatial rotations; spin; helicity and PCT transformations; general solution of the Dirac equation, massless Dirac particles; physical interpretation; localization and particle content
Quantum Mechanics and Path Integrals
กลศาสตร์ควอนตัม และปริพันธ์ตามวิถี
Code: 897522
2 Credits
Details
Classical action; quantum amplitude; sum over paths; Gaussian integrals; Schrodinger equation; measurements; transition element; applications of path integrals
Advanced Non-Relativistic Quantum Mechanics ⠀⠀⠀⠀⠀⠀⠀⠀⠀
กลศาสตร์ควอนตัมแบบไม่สัมพัทธภาพขั้นสูง ⠀⠀⠀⠀⠀⠀
Code: 897523
2 Credits
Details
Approximation methods; time-independent and time-dependent perturbation theory; discrete symmetries; quantum scattering theory; identical particles; second quantization
Introduction to Quantum Information Science and Technology
สารสนเทศเชิงควอนตัมวิทยาศาสตร์และเทคโนโลยีขั้นต้น
Code: 897524
2 Credits
Details
The scope of quantum information science, qubit, quantum cryptography, entanglement, quantum computing, basic quantum algorithms and applications, density operators, open quantum systems and decoherence, protecting quantum information
Quantum Information ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
สารสนเทศเชิงควอนตัม ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897525
3 Credits
Details
Density operators; generalized measurements; quantum circuit model; entanglement and its applications; CHSH inequality; quantum channels; qubit quantum channels; distance measures; classical information theory: typicality, Shannon’s source coding theorem, channel coding theorem and its converse; quantum entropies; typical subspaces; Schumacher’s compression; capacity of a quantum channel; accessible information and Holevo bound
Quantum Computation ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
การคำนวณเชิงควอนตัม
Code: 897526
3 Credits
Details
Classical circuit model and reversible computation; universal gate sets; DeutschJozsa algorithm; Simon’s algorithm; quantum Fourier transform; Shor’s factoring algorithm; Grover’s search algorithm; classical models of computation: Turing machine, classical circuit model, complexity classes P and NP; quantum circuit model and the class BQP; quantum error correction; fault-tolerant quantum computation
Introduction to Quantum Hardware ⠀⠀⠀⠀⠀⠀
ฮาร์ดแวร์เชิงควอนตัมขั้นต้น
Code: 897527
2 Credits
Details
Theoretical and experimental descriptions of super-conducting qubits, trapped atoms and ions, and photonic system
Special Topics in Quantum Information
หัวข้อพิเศษทางสารสนเทศเชิงควอนตัม
Code: 897528
3 Credits
Details
Intensive study of interested topics in Quantum Information
Special Topics in Atomic Physics and Quantum Optics
หัวข้อพิเศษทางฟิสิกส์อะตอม และทัศนศาสตร์เชิงควอนตัม
Code: 897529
3 Credits
Details
Intensive study of interested topics in Atomic Physics and Quantum Optics
Introduction to General Relativity ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
สัมพัทธภาพทั่วไปขั้นต้น ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897551
3 Credits
Details
Special relativity, vector and tensor analysis in special relativity, perfect fluids in special relativity; equivalence principle; introduction to curvature; curved manifolds; physics and curved spacetime; Einstein field equations; Einstein-Hilbert action; introduction to gravitational radiation; Schwarzchild black hole; and cosmology
Introduction to Black Holes ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
หลุมดำขั้นต้น ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897552
3 Credits
Details
Review on general relativity; Schwarzchild solution; spacetime diagram; general form of spherically symmetric solution; rotating black hole; laws of black hole mechanics; Hawking radiation; black hole thermodynamics; greybody factor; and quasinormal modes
Introduction to Modified Gravity Theories ⠀⠀⠀⠀⠀⠀⠀
ทฤษฎีความโน้มถ่วงแบบขยายความขั้นต้น
Code: 897553
3 Credits
Details
Postulate of general relativity; Palatini formalism; Lovelock’s theorem; modified gravity theory from non-minimal coupling; modified gravity theory from higher curvature terms; general relativity with higher-dimensional spacetime; massive gravity theory
Special Topics in Gravity Theories ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
หัวข้อพิเศษทางทฤษฎีความโน้มถ่วง
Code: 897554
2 Credits
Details
Intensive study of interested topics in Gravity Theories
Quantum Field Theory ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ทฤษฎีสนามควอนตัม
Code: 897563
3 Credits
Details
Classical field theory; Lagrangian and Hamiltonian formalism; scalar field theory; quantization of Klien-Gordon theory; interacting phi-4 theory; Feynman diagrams; cross-section and S-matrix; fermionic field theory; quantization of Dirac theory; interacting theories for fermions; functional methods; functional quantization fields; renormalization of phi-4 theory; gauge theories and their quantizations; quantum electrodynamics (QED).
Introduction to String Theory ⠀⠀⠀⠀⠀⠀⠀⠀
ทฤษฎีสตริงขั้นต้น
Code: 897564
3 Credits
Details
The non-relativistic string; relativistic point particle; Nambu-Goto and Polyakov action; equations of motion and boundary conditions; mode expansions; covariant and lightcone quantization; functional quantisation; conformal field theory; Wick’s theorem; state operator correspondence; string interactions; string amplitudes
Introduction to Scattering Amplitudes
แอมพลิจูดของการกระเจิงขั้นต้น
Code: 897565
2 Credits
Details
Dirac spinors; spinor-helicity formalism; Yang-Mills amplitudes and colordecomposition; Parke-Taylor formula; on-shell recursion relations; soft limit and collinear limit; supersymmetry; superamplitudes; Ward identities; color-kinematics duality and double copy; generalized unitarity and loop amplitudes
Geometric Mechanics ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
กลศาสตร์เรขาคณิต
Code: 897566
3 Credits
Details
Introduction to differentiable manifold; differential forms; Lagrangian mechanics; configuration space; tangent bundle; Lagrangian vector field; 1-form representation of the Euler-Lagrange equation; one-parameter group for tangent bundle; Noether theorem; Hamiltonian mechanics; cotangent bundle; Hamiltonian vector field; 2-forms representation of the Hamilton’s equations; one-parameter group for cotangent bundle; canonical transformations; symplectic structure; Liouville Theorem; Leouville-Arnold theorem; Hamiltonian commuting flows, multi-dimensional consistency, Lax pair, zero-curvature condition; Lagrangian 1-form structure; Closure relation
Special Topics in High Energy Physics
หัวข้อพิเศษทางฟิสิกส์พลังงานสูง
Code: 897567
3 Credits
Details
Intensive study of interested topics in High Energy Physics.
Cosmology 1
จักรวาลวิทยา 1
Code: 897571
3 Credits
Details
Cosmological principle; spacetime geometry; the expansion of the Universe; the cosmological redshift; distance measurement in cosmology; energy and matter in the Universe; dynamical expansion; thermodynamics equilibrium processes; recombination and last scattering; cosmological nucleosynthesis, baryonsynthesis and lepton-synthesis; inflation
Cosmology 2
จักรวาลวิทยา 2
Code: 897572
3 Credits
Details
Cosmological perturbations; scalar, vector, and tensor perturbations; gauge transformations; field equation; Fourier decomposition and stochastic initial conditions; conservation theorem; the evolution of cosmological perturbations; linear growth factor; structure formation; anisotropies of the cosmic microwave background
Special Topics in Cosmology
หัวข้อพิเศษทางจักรวาลวิทยา
Code: 897573
3 Credits
Details
Intensive study of interested topics in Cosmology
Data Science for Physicists
วิทยาศาสตร์ข้อมูลสำหรับนักฟิสิกส์
Code: 897581
3 Credits
Details
Descriptive and inferential Statistics; Distributions; Statistical tests; Review of Probability Theory; Probabilistic Distributions; Bayesian Inference; Parameter Estimation; Hypothesis Testing; Correlation analysis; Regression Analysis; Data Visualization; Practical Data Analysis
Introduction to Optimization
การหาค่าเหมาะที่สุดขั้นต้น
Code: 897582
3 Credits
Detaisl
Linear programming, integer linear programming, combinatorial programming; time complexity of various algorithms; state-of-the-art tools; applications in industry; theoretical description of mathematical models; solution finding techniques; hands-on problem solving with modern programming tools
Machine Learning and Applied Optimization
การเรียนรู้ของเครื่อง และการประยุกต์การหาค่าเหมาะที่สุด
Code: 897583
3 Credits
Details
Linear and nonlinear Programming; Constrained Optimization; Markov Chain Monte-Carlo; Kernel Density Estimator; Machine Learning; Regression; Classification; Boltzmann Machine; Introduction to Neural Networks; Deep Learning; basic Natural Language Processing
Special Topics in Computational Physics
หัวข้อพิเศษทางฟิสิกส์เชิงคณนา ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Code: 897584
3 Credits
Details
Intensive study of interested topics in Computational Physics
01
02
Scholarship
QTFT Scholarship
Financial support for Ph.D. students interested in research in the field of “Quantum Technology.”
Key Condition: Scholarship awarding is subject to the terms and conditions of the Quantum Technology Foundation (QTFT).
Research Assistant (RA) Scholarship
An opportunity to receive a scholarship and develop research skills through hands-on work with experts.
Key Condition: Students must directly contact the professor they wish to conduct research with.
Royal Golden Jubilee Ph.D. Program (RGJ)
A prestigious honor scholarship awarded to students who wish to pursue a doctoral degree.
Key Condition: Applicants must contact their prospective research advisor in advance.
NU Scholarship
Support for Master’s and Ph.D. students at Naresuan University, enabling you to fully focus on your research potential.
Benefits: Covers tuition fees only for the full duration of the curriculum.