Quantum Mechanics, Relativity and Fields Research Group

HOMEPAGE	Welcome
Faculty Graduate students Lines of research Some publications News Contact us	Quantum Mechanics, Relativity and Fields Research Group Universidad Central de Venezuela Facultad de Ciencias Escuela de Física Departamento de Física Caracas 1041, Venezuela Faculty - Salvatore De Vincenzo (Sc.D., Universidad Central de Venezuela, UCV) [CURRENT -VIRTUAL- COORDINATOR] - Vidal Alonso (Ph.D., Leningrad State University, current Saint Petersburg State University, SPbGU) - Luigi Mondino (Ph.D., University of London) Graduate students - At this moment, we don't have any graduate student working with us. Lines of research - Quantum Mechanics: Foundations. EPR paradox. Bell inequalities and related experiments. - Non-relativistic quantum mechanics: Boundary conditions in model problems (Particle in a one-dimensional box. Point interactions). Supersymmetric quantum mechanics (SUSY QM) and its relation with local observables. Ehrenfest-type theorems. SUSY QM with point interactions. Singular potentials. Self-adjoint extensions of Schrödinger operators in one dimension. Classical-quantum connections in model problems. Quantum wires and Graphs. - Relativistic quantum mechanics: Tensorial theories in (1+1) dimensions. Applications in model problems (Particle in a one-dimensional box. Point interactions). Tensorial aspects in Dirac SUSY QM. Dirac operators. Ehrenfest-type theorems. Self-adjoint extensions of Dirac operators in (1+1) dimensions. Quantum wires and Graphs. The equation for the Majorana particle or fermion. The (non-Hamiltonian) Majorana equation (or the equation for the hypothetical Majoranons): solutions, boundary conditions, and connections with other equations. The infinite-components Majorana equation for particles of arbitrary spin: possible solutions for spin 0, 1/2, and 1, and connections with other equations. - General Relativity: Privileged reference frames. Cosmological models. Gravitational energy. Some publications Note: the following list is not up to date. Please, go to this link --> - S. De Vincenzo and C. Sánchez, “General boundary conditions for a Majorana single-particle in a box in (1+1) dimensions,” Physics of Particles and Nuclei Letters. 15, 257 (2018). - S. De Vincenzo and C. Sánchez, "One-dimensional point interactions and bound states," Revista Mexicana de Física E. 62, 117 (2016). - S. De Vincenzo, "Operators and bilinear densities in the Dirac formal 1D Ehrenfest theorem," Journal of Physical Studies. 19, 1003 (2015). - S. De Vincenzo, "Changes of representation and general boundary conditions for Dirac operators in 1+1 dimensions," Revista Mexicana de Fisica. 60, 401 (2014). - S. De Vincenzo, "Classical path from quantum motion for a particle in a transparent box," Revista Brasileira de Ensino de Fisica. 36, 2313 (2014). - S. De Vincenzo, "On average forces and the Ehrenfest theorem for a particle in a semi-infinite interval," Revista Mexicana de Fisica E. 59, 84 (2013). - S. De Vincenzo, "On time derivatives for < x > and < p >: formal 1D calculations," Revista Brasileira de Ensino de Fisica. 35, 2308 (2013). - S. De Vincenzo, "Confinement, average forces, and the Ehrenfest theorem for a one-dimensional particle," PRAMANA, Journal of Physics. 80, 797 (2013). - S. De Vincenzo, "Classical-quantum versus exact quantum results for a particle in a box," Revista Brasileira de Ensino de Fisica. 34, 2701 (2012). - S. De Vincenzo and C. Sánchez, "Point interactions: boundary conditions or potentials with the Dirac delta function," Canadian Journal of Physics. 88, 809 (2010). - S. De Vincenzo, "Some results for a particle in a box and their SUSY partners," Fizika B (Zagreb). 17, 379 (2008). - S. De Vincenzo, "On the nondegeneracy theorem for a particle in a box," Brazilian Journal of Physics. 38, 355 (2008). - S. De Vincenzo, "Impenetrable barriers in quantum mechanics," Revista Mexicana de Física E. 54, 1 (2008). - S. De Vincenzo, "SUSY QM in a one-dimensional box and local observable quantities," Chinese Physics Letters. 23, 1969 (2006). - S. De Vincenzo and V. Alonso, "SUSY QM with a complex partner potential in a one-dimensional box," Physics Letters A. 298, 98 (2002). - V. Alonso, S. De Vincenzo and L. González-Díaz, "Ehrenfest theorem and Bohm's quantum potential in a "one-dimensional box"," Physics Letters A. 287, 23 (2001). - V. Alonso and S. De Vincenzo, "Delta-type Dirac point interactions and their non-relativistic limits," International Journal of Theoretical Physics. 39, 1483 (2000). - V. Alonso and S. De Vincenzo, "Ehrenfest-type theorems for a one-dimensional Dirac particle," Physica Scripta. 61, 396 (2000). - V. Alonso, S. De Vincenzo and L. González-Díaz, "On the Ehrenfest theorem in a one-dimensional box," Nuovo Cimento B. 115, 155 (2000). - V. Alonso, S. De Vincenzo and L. Mondino, "Tensorial relativistic quantum mechanics in (1+1) dimensions and boundary conditions," Foundations of Physics. 29, 231 (1999). - V. Alonso and S. De Vincenzo, "General boundary conditions for a Dirac particle in a box and their non-relativistic limits," Journal of Physics A: Mathematical and General. 30, 8573 (1997). News - Prof. Salvatore De Vincenzo is not teaching any course at this time in the UCV. - For more information go to this link: INFOLAB (Latest Research Group Information). Contact us - For more information, go to the personal page of Professor Salvatore De Vincenzo (in Italian or in English ). - You can email us using your Gmail account , Yahoo! Mail or MSN Hotmail/Windows Live/Outlook . - You can also send a message through Facebook , or Twitter . Last update: September 20, 2021 Copyright 2001 / Salvatore De Vincenzo