Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry
Mathematical Physics
2023-08-09 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
We consider -dimensional Dirac equation with rationally extended scalar potentials corresponding to the radial oscillator, the trigonometric Scarf and the hyperbolic Poschl-Teller potentials and obtain their solution in terms of exceptional orthogonal polynomials. Further, in the case of the trigonometric Scarf and the hyperbolic Poschl-Teller cases, new family of Dirac scalar potentials are generated using the idea of parametric symmetry and their solutions are obtained in terms of conventional as well as exceptional orthogonal polynomials.
Keywords
Cite
@article{arxiv.2211.02557,
title = {Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry},
author = {Suman Banerjee and Rajesh Kumar Yadav and Avinash Khare and Nisha Kumari and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:2211.02557},
year = {2023}
}
Comments
24 pages, 10 figures, LaTex