Prof. Salvatore De Vincenzo, Sc.D.

Prof. Salvatore De Vincenzo, Sc.D.

"If you are receptive and humble, mathematics will lead you by the hand. Again and again, when I have been at a loss how to proceed, I have just had to wait until I have felt the mathematics led me by the hand. It has led me along an unexpected path, a path where new vistas open up, a path leading to new territory, where one can set up a base of operations, from which one can survey the surroundings and plan future progress."

Paul Dirac (1902 - 1984)

 

- Fundamentals of Quantum Mechanics
- Mathematical Structures of Quantum Mechanics
- Relativistic Wave Equations
- Majorana
- Supersymmetric Quantum Mechanics (SUSY QM)
- Point interactions

Latest Publications

- "Characterizing Klein-Fock-Gordon-Majorana particles in (1+1) dimensions," Few-Body Systems 65, 11 (2024). [view-only version]. arXiv:2312.10971 [quant-ph]. Here --> alphaXiv:2312.10971 you can post questions and comments about my article!

- "On a paradox in quantum mechanics and its resolution," (with Padtarapan Banyadsin, Physics Department, Naresuan University, Thailand). European Journal of Physics 44, 045402 (2023). The PDF version of our article could be requested only for academic purposes (via e-mail: salvatored@nu.ac.th). arXiv:2305.08556 [quant-ph]

- "General pseudo self-adjoint boundary conditions for a 1D KFG particle in a box," Physics Open 15, 100151 (2023). arXiv:2301.01565 [quant-ph]

- "The Dirac impenetrable barrier in the limit point of the Klein energy zone," Journal of Physics Communications 7, 025005 (2023). [A few results of this work were presented at the 17th Siam Physics Congress (SPC) 2022 (slides).] arXiv:2205.12588 [quant-ph]

- “Differential equations for the Majorana particle in (3+1) and (1+1) dimensions,” Theoretical and Mathematical Physics (Theor. Math. Phys.) 209, 1726 (2021) - [Теоретическая и математическая физика 209, 475 (2021). Russian version.]

- “On the mean value of the force operator for 1D particles in the step potential,” Revista Brasileira de Ensino de Física 43, e20200422 (2021).

- “On the boundary conditions for the 1D Weyl-Majorana particle in a box,” Acta Physica Polonica B 51, 2055 (2020).

- “On 3D and 1D Weyl particles in a 1D box,” European Physical Journal Plus 135, 806 (2020).

- “On real solutions of the Dirac equation for a one-dimensional Majorana particle,” Results in Physics 15, 102598 (2019).

- “General boundary conditions for a Majorana single-particle in a box in (1+1) dimensions,” (with C. Sánchez) Physics of Particles and Nuclei Letters 15, 257 (2018).

- “One-dimensional point interactions and bound states,” (with C. Sánchez) Revista Mexicana de Física E 62, 117 (2016).

- “Operators and bilinear densities in the Dirac formal 1D Ehrenfest theorem,” Journal of Physical Studies 19, 1003 (2015). [Initiated by West Ukrainian Physical Society & Ivan Franko National University of Lviv, Ukraine, and recognized by European Physical Society.]

- “Changes of representation and general boundary conditions for Dirac operators in 1+1 dimensions,” Revista Mexicana de Física 60, 401 (2014).

- “Classical path from quantum motion for a particle in a transparent box,” Revista Brasileira de Ensino de Fisica 36, 2313 (2014).

- “On average forces and the Ehrenfest theorem for a particle in a semi-infinite interval,” Revista Mexicana de Física E 59, 84 (2013).

Some Publications

- “On time derivatives for <x> and <p>: formal 1D calculations,” Revista Brasileira de Ensino de Fisica 35, 2308 (2013).

- “Confinement, average forces, and the Ehrenfest theorem for a one-dimensional particle,” PRAMANA, Journal of Physics 80, 797 (2013).

- “Classical-quantum versus exact quantum results for a particle in a box,” Revista Brasileira de Ensino de Fisica 34, 2701 (2012).

- “Point interactions: boundary conditions or potentials with the Dirac delta function,” (with C. Sánchez) Canadian Journal of Physics 88, 809 (2010).

- “Some results for a particle in a box and their SUSY partners,” Fizika B (Zagreb) 17, 379 (2008).

- “On the nondegeneracy theorem for a particle in a box,” Brazilian Journal of Physics 38, 355 (2008).

- “Impenetrable barriers in quantum mechanics,” Revista Mexicana de Física E 54, 1 (2008).

- “SUSY QM in a one-dimensional box and local observable quantities,” Chinese Physics Letters 23, 1969 (2006).

- “SUSY QM with a complex partner potential in a one-dimensional box,” (with V. Alonso) Physics Letters A 298, 98 (2002).

- “Tensorial theory of relativistic quantum mechanics in (1+1) dimensions,” (with V. Alonso and L. Mondino) CIENCIA [Journal of the Facultad Experimental de Ciencias, Universidad del Zulia (LUZ), Maracaibo, Venezuela.] 9, 433 (2001).

- “Ehrenfest theorem and Bohm’s quantum potential in a one-dimensional box,” (with V. Alonso and L.A. González-Díaz) Physics Letters A 287, 23 (2001).

- “Boundary conditions and the Dirac spinor,” (with V. Alonso and L. Mondino) CIENCIA [Journal of the Facultad Experimental de Ciencias, Universidad del Zulia (LUZ), Maracaibo, Venezuela.] 9, 58 (2001).

- “General boundary conditions for a Dirac particle in a box,” (with V. Alonso) CIENCIA [Journal of the Facultad Experimental de Ciencias, Universidad del Zulia (LUZ), Maracaibo, Venezuela.] 9, 50 (2001).

Other Publications

- “Delta-type Dirac point interactions and their non-relativistic limits,” (with V. Alonso) International Journal of Theoretical Physics 39, 1483 (2000).

- “Ehrenfest-type theorems for a one-dimensional Dirac particle,” (with V. Alonso) Physica Scripta 61, 396 (2000).

- “On the Ehrenfest theorem in a one-dimensional box,” (with V. Alonso and L. González-Díaz) Nuovo Cimento B 115, 155 (2000).

- “Some remarks about the “free” Dirac particle in a one-dimensional box,” (with V. Alonso) Journal of Physics A: Mathematical and General 32, 5277 (1999).

- “Tensorial relativistic quantum mechanics in (1+1) dimensions and boundary conditions,” (with V. Alonso and L. Mondino) Foundations of Physics 29, 231 (1999).

- “General boundary conditions for a Dirac particle in a box and their non-relativistic limits,” (with V. Alonso) Journal of Physics A: Mathematical and General 30, 8573 (1997).

- “On the boundary conditions for the Dirac equation,” (with V. Alonso and L. Mondino) European Journal of Physics 18, 315 (1997).