Related papers: One continuous parameter family of Dirac Lorentz scalar potentials associated with exceptional orthogonal polynomials

One continuous parameter family of Dirac Lorentz scalar potentials associated with exceptional orthogonal polynomials

URL: http://arxiv.org/abs/2309.12965v1
Date: Fri, 22 Sep 2023 16:02:35 GMT
Title: One continuous parameter family of Dirac Lorentz scalar potentials associated with exceptional orthogonal polynomials
Authors: Suman Banerjee and Rajesh Kumar Yadav
Abstract summary: We get one $(lambda)$ family of rationally extended Dirac Lorentz scalar potentials with their explicit solutions in terms of $X_$ exceptional.
Score: 3.8415024264641624
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We extend our recent works [ Int. J. Mod. Phys. A 38 (2023) 2350069-1] and obtain one parameter $(\lambda)$ family of rationally extended Dirac Lorentz scalar potentials with their explicit solutions in terms of $X_{m}$ exceptional orthogonal polynomials. We further show that as the parameter $\lambda \rightarrow 0$ or $-1$, we get the corresponding rationally extended Pursey and the rationally extended Abraham-Moses type of scalar potentials respectively, which have one bound state less than the starting scalar potentials.

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