Related papers: SUSY-Nonrelativistic Quantum Eigenspectral Energy Analysis for Squared-Type Trigonometric Potentials Through Nikiforov-Uvarov Formalism

SUSY-Nonrelativistic Quantum Eigenspectral Energy Analysis for Squared-Type Trigonometric Potentials Through Nikiforov-Uvarov Formalism

URL: http://arxiv.org/abs/2208.11587v3
Date: Wed, 22 Mar 2023 21:40:35 GMT
Title: SUSY-Nonrelativistic Quantum Eigenspectral Energy Analysis for Squared-Type Trigonometric Potentials Through Nikiforov-Uvarov Formalism
Authors: Metin Aktas
Abstract summary: We presentExplicit and analytical bound-state solutions of the Schrodinger equation for squared-form trigonometric potentials within the framework of supersymmetric quantum mechanics (SUSYQM) It is remarkable to note that, when examined parametrically, they are of reliable and applicable forms concerning the mathematical treatment of various physical quantum systems prescribed in relativistic or nonrelativistic contexts.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Explicit and analytical bound-state solutions of the Schrodinger equation for squared-form trigonometric potentials within the framework of supersymmetric quantum mechanics (SUSYQM) are performed by implementing the Nikiforov-Uvarov (NU) polynomial procedure. The first step requires a certain action to adopt an appropriate ansatz superpotential W(x) for generating the potential pair as V1 (x) and V2(x). In the second process, inserting each potential for the one-dimensional Schrodinger equation and solving the hypergeometric differential equation with the NU method gives rise to normalized wave function descriptions and algebraically corresponds to the characteristic SUSY quantum energy eigenspectrum sets. It is remarkable to note that, when examined parametrically, they are of reliable and applicable forms concerning the mathematical treatment of various physical quantum systems prescribed in relativistic or nonrelativistic contexts.

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