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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Modern Physics Letters A

ISSN

0217-7323

e-ISSN

—

Svazek periodika

36

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

19

Strana od-do

"Article Number: 2150016"

Kód UT WoS článku

000617677700002

EID výsledku v databázi Scopus

2-s2.0-85097913933