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arXiv · 2309.12965

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

Suman Banerjee·Rajesh Kumar Yadav
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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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Suman Banerjee, Rajesh Kumar Yadav. 2023-09-22. One continuous parameter family of Dirac Lorentz scalar potentials associated with exceptional orthogonal polynomials. https://arxiv.org/abs/2309.12965

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