Research ArticleNo Access

Relativistic bound states solutions with a linear combination of Yukawa and deformed Hulthén potentials by path integral approach

Mohamed Ameziane Sadoun

Physics Department, University of Bouira, Bouira, Bouira 10000, Algeria

E-mail Address: m.sadoun@univ-bouira.dz

Corresponding author.

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and

Hamza Adnane

Physics Department, University of Bouira, Bouira, Bouira 10000, Algeria

E-mail Address: h.adnane@univ-bouira.dz

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https://doi.org/10.1142/S0219887824500257Cited by:1 (Source: Crossref)

Abstract

In this paper, we present a complete solution for the problem of a relativistic particle without spin, of mass M and charge e, subject to linear combination of the Yukawa and Deformed Hulthén Potentials. In particular, we assess the radial Green’s function for the l states by introducing appropriate approximations of the terms (1/r) and (1/(r)). By choosing an appropriate spacetime transformation, the energy spectrum and the normalized wave functions of the bound states are obtained from the poles of Green’s function and its residues.

Keywords:

AMSC: 81Q05, 81Q30, 81V55, 35Q40

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