Eigensolution of the Klein-Gordon equation for modified Yukawa-Kratzer potential and its applications using parametric Nikiforov-Uvarov and SUSYQM method
type: Item
instance of: scholarly article
title: Eigensolution of the Klein-Gordon equation for modified Yukawa-Kratzer potential and its applications using parametric Nikiforov-Uvarov and SUSYQM method
zbMATH Open document ID: 1477.81134
author: Rajendrasinh H. Parmar
author: P. C. Vinodkumar
publication date: 2021-08-17T00:00:00Z
review text: In the publication the well-known Klein-Gordon equation of a scalar field is supplemented with a couple of different potentials. Known example for such a suplementation is the \(\phi^4\) theory leading to e.g. the spontaneous symmetry breaking and the Higgs mechanism. However, this is not the aim of the authors. It is not a surprise that the publication appeared in the Journal of Mathematical Chemistry, as the potentials the authors use are necessary to calculate molecule spectra. Therefore, knowledge about the Klein-Gordon field in quantum field theory might not be of any help here. Rather, the publication deals more with the solutions of differential equations. As methods the authors use the parametric Nikiforov-Uvarov method and a supersymmetric quantum mechanical method. Using either of these methods, solutions are obtained and presented for the modified Yukawa-Kratzer potential (MYKP), the modified Kratzer plus screened Coulomb potential (MKSCP), the modified Yukawa potential (MYP), and a class of Yukawa potential(s) (CYP), where in most of all cases the singular is used instead of a plural, leaving open whether this is really a class (of potentials) or a single one. In general, problems in expressing the intention of the authors are felt throughout the publication. On the other hand, people in the field probably know the intention, and the rich collection of diagrams and tables are probably of much help for the practitioner in molecular spectroscopy. As being from a different field of science, I leave it to the reader whether this publication is of benefit for her or him.
reviewed by: Stefan Groote
Mathematics Subject Classification ID: 81V55
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81Q60
Mathematics Subject Classification ID: 81R20
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 81Q30
Mathematics Subject Classification ID: 82B30
Mathematics Subject Classification ID: 35A17
zbMATH DE Number: 7382637
zbMATH Keywords: modified Yukawa potential
zbMATH Keywords: modified Kratzer potential
zbMATH Keywords: parametric Nikiforov-Uvarov method
zbMATH Keywords: supersymmetric quantum mechanics method
zbMATH Keywords: thermodynamic properties
zbMATH Keywords: Hellman-Feynman theorem
MaRDI profile type: Publication
full work available at URL: s10910-021-01258-y
OpenAlex ID: W3164972650
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DOI: 10.1007/S10910-021-01258-Y
published in: Journal of Mathematical Chemistry
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description: scientific article; zbMATH DE number 7382637