# Supersymmetry and superalgebra for the two-body system with a Dirac oscillator interaction

@article{Moshinsky1995SupersymmetryAS, title={Supersymmetry and superalgebra for the two-body system with a Dirac oscillator interaction}, author={Marcos Moshinsky and C Quesne and Yu. F. Smirnov}, journal={Journal of Physics A}, year={1995}, volume={28}, pages={6447-6457} }

Some years ago, one of the authors (MM) revived a concept to which he gave the name single-particle Dirac oscillator, while another of the authors (CQ) showed that it corresponds to a realization of supersymmetric quantum mechanics. The Dirac oscillator in its one- and many-body versions has had a great number of applications. Recently, it included the analytic expression for the eigenstates and eigenvalues of a two-particle system with a new type of Dirac oscillator interaction of frequency…

## 15 Citations

### On the κ-deformed Dirac oscillator in (2 + 1)-dimensions

- PhysicsModern Physics Letters A
- 2019

We show that the (2 + 1)-dimensional [Formula: see text]-Dirac oscillator is equivalent, to the first-order of the deformation parameter, to a couple of simultaneous Jaynes–Cummings (JC) and…

### Relativistic Landau levels for a fermion-antifermion pair interacting through Dirac oscillator interaction

- Physics
- 2020

We introduce a unique model for a fermion antifermion pair interacting through Dirac oscillator interaction in the presence of external uniform magnetic field. In order to acquire a non perturbative…

### On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

- PhysicsThe European Physical Journal C
- 2019

The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equation…

### (1+1)-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum

- PhysicsModern Physics Letters A
- 2019

[Formula: see text]-dimensional Dirac oscillator with minimal uncertainty in position and maximal in momentum is investigated. To obtain energy spectrum, SUSY QM technique is applied. It is shown…

### $\kappa$κ-deformed Dirac oscillator in an external magnetic field

- Physics
- 2017

Abstract.We study the solutions of the (2 + 1)-dimensional $\kappa$κ-deformed Dirac oscillator in the presence of a constant transverse magnetic field. We demonstrate how the deformation parameter…

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