Bound state solutions of the Klein-Gordon equation with energy-dependent potentials

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50017935" target="_blank" >RIV/62690094:18470/21:50017935 - isvavai.cz</a>

Result on the web

<a href="http://doi.org/10.1142/S0217732321500164" target="_blank" >http://doi.org/10.1142/S0217732321500164</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217732321500164" target="_blank" >10.1142/S0217732321500164</a>

Result language

angličtina

Original language name

Bound state solutions of the Klein-Gordon equation with energy-dependent potentials

Original language description

In this paper, we investigate the exact bound state solution of the Klein-Gordon equation for an energy-dependent Coulomb-like vector plus scalar potential energies. To the best of our knowledge, this problem is examined in literature with a constant and position dependent mass functions. As a novelty, we assume a mass-function that depends on energy and position and revisit the problem with the following cases: First, we examine the case where the mixed vector and scalar potential energy possess equal magnitude and equal sign as well as an opposite sign. Then, we study pure scalar and pure vector cases. In each case, we derive an analytic expression of the energy spectrum by employing the asymptotic iteration method. We obtain a nontrivial relation among the tuning parameters which lead the examined problem to a constant mass one. Finally, we calculate the energy spectrum by the Secant method and show that the corresponding unnormalized wave functions satisfy the boundary conditions. We conclude the paper with a comparison of the calculated energy spectra versus tuning parameters.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10303 - Particles and field physics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Modern Physics Letters A

ISSN

0217-7323

e-ISSN

—

Volume of the periodical

36

Issue of the periodical within the volume

4

Country of publishing house

SG - SINGAPORE

Number of pages

19

Pages from-to

"Article Number: 2150016"

UT code for WoS article

000617677700002

EID of the result in the Scopus database

2-s2.0-85097913933