Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Theoretical Physics

Dirac Equation and Ground State of Solvable Potentials: Supersymmetry Method

H. Panahi, Zahra Bakhshi

Published Apr 13, 2011• 10 citations
Publisher
DOI
10.1007/s10773-011-0780-4

Related papers

Energy-Levels Crossing and Radial Dirac Equation: Supersymmetry and Quasi-Parity Spectral Signatures

Omar Mustafa

arXiv:quant-ph/0703078•International Journal of Theoretical Physics•Oct 3, 2007•12 citations

Dirac Equation with vector and scalar potentials via Supersymmetry in Quantum Mechanics

E. S. Rodrigues, Aércio Ferreira de Lima, R. de Lima Rodrigues

In this work, a spin $\frac 12$ relativistic particle described by a generalized potential containing both the Coulomb potential and a Lorentz scalar potential in Dirac equation is investigated in terms of the generalized ladder operators from supersymmetry in quantum mechanics. This formalism is applied for the generalized Dirac-Coulomb problem, which is an exactly solvable potential in relativistic quantum mechanics. We obtain the energy eigenvalues and calculate explicitly the energy eigenfunctions for the ground state and the first excited state.

arXiv:1301.6148•Jan 25, 2013•1 citation

Supersymmetric quantum mechanics and solvable potentials

Aytül Bal

•Jan 1, 2015•0 citations

Solution of the Dirac equation for pseudo-harmonic oscillatory ring-shaped potential by the supersymmetric quantum mechanics

Sahar Arbabi Moghadam, M. Eshghi, Hossein Mehraban

In this work, exact solutions of the Dirac equation are studied for the pseudo-harmonic oscillatory ring-shaped potential by using the supersymmetry method. The un-normalized eigenfunctions and the eigenvalue equation of the Dirac equation are presented. Some numerical results are given. We also discuss the special cases of this potential. In addition, valence energy states can be produced from our solution for the whole state by taking the appropriate transformation of parameters.

Physica Scripta•Jul 25, 2014•11 citations

Introducing supersymmetric quantum mechanics via the Dirac equation

P. Vahle, Budh Ram

American Journal of Physics•Nov 1, 1997•3 citations

Dirac Equation: Central Potentials

WORLD SCIENTIFIC eBooks•Nov 1, 2002•0 citations
In this work, a spin 12\frac 1221​ relativistic particle described by a generalized potential containing both the Coulomb potential and a Lorentz scalar potential in Dirac equation is investigated in terms of the generalized ladder operators from supersymmetry in quantum mechanics. This formalism is applied for the generalized Dirac-Coulomb problem, which is an exactly solvable potential in relativistic quantum mechanics. We obtain the energy eigenvalues and calculate explicitly the energy eigenfunctions for the ground state and the first excited state.