M.S. Program

PH.D. Program

Scholarship

CURRICULUM HIGHLIGHT

M.S.Program

DURATION

STRUCTURE

2 Years

Coursework + Thesis

Course Map
Course Detail

ปีที่ 1 ภาคการศึกษาต้น

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

ปีที่ 1 ภาคการศึกษาปลาย

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

ปีที่ 2 ภาคการศึกษาต้น

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

ปีที่ 2 ภาคการศึกษาปลาย

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

วิชาหลัก (บังคับเรียน)

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

วิชาเลือก

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

PH.D.Program

DURATION

STRUCTURE

3 Years

Coursework + Thesis

Course Map
Course Detail

ปีที่ 1 ภาคการศึกษาต้น

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

ปีที่ 1 ภาคการศึกษาปลาย

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

ปีที่ 2 ภาคการศึกษาต้น

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

ปีที่ 2 ภาคการศึกษาปลาย

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

วิชาหลัก (บังคับเรียน)

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

วิชาเลือก

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

Why?

STUDY

THEORETICAL PHYSICS

@ IF – Naresuan

Perks / Benefits