An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method.

Rajesh Kumar, P. (2022) An improved quantum condition for the bound state problem in non-relativistic quantum mechanics using the NUFA method. European Physical Journal Plus, 137 (1). ISSN 2190-5444

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Official URL: https://www.springer.com/journal/13360

Abstract

The bound state is an intriguing quantum mechanics problem. In this paper, an improved and elegant quantum condition for the bound state problem in non-relativistic quantum mechanics using the Nikiforov-Uvarov functional analysis (NUFA) method is presented. From the quantum condition, two simple formulas are obtained to calculate the energy spectrum for the bound state problem, one for the case when the parameter α3≠0 and the other when α3→0. The corresponding eigenstates are also derived in terms of hypergeometric functions. Two bound state problems are studied using the improved quantum condition. (Abstract by author)

Item Type: Article
Uncontrolled Keywords: quantum mechanics problem, improved quantum condition, bound state problem, (NUFA) method
Subjects: Q Science > QC Physics
Divisions: Faculty of Applied Sciences
Depositing User: Shahril Effendi Ibrahim
Date Deposited: 07 Aug 2022 01:39
Last Modified: 19 Jan 2023 02:54
URI: http://library.oum.edu.my/repository/id/eprint/1474

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