Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry

Autor:	Banerjee, Suman, Yadav, Rajesh Kumar, Khare, Avinash, Kumari, Nisha, Mandal, Bhabani Prasad
Rok vydání:	2022
Předmět:	Mathematical Physics High Energy Physics - Theory Quantum Physics
Druh dokumentu:	Working Paper
DOI:	10.1142/S0217751X23500690
Popis:	We consider $1+1$-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. Comment: 24 pages, 10 figures, LaTex
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.02557 Zobrazit plný text záznamu View this record from Arxiv