Effects of nontrivial topology with Coulomb-types scalar and vector potential on relativistic quantum motions of scalar charged bosons

In this paper, we study the relativistic quantum motions of spin-zero scalar bosons confined by the quantum flux field in the presence of Coulomb-type scalar potential in the background of a topologically nontrivial 4D space–time. Afterwards, we introduce a Coulomb-like vector potential through a mi...

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Published inInternational journal of modern physics. A, Particles and fields, gravitation, cosmology Vol. 38; no. 8
Main Author Ahmed, Faizuddin
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 20.03.2023
World Scientific Publishing Co. Pte., Ltd
Subjects
Bosons
Eigenvalues
Physics
Quantum theory
Relativistic effects
Topology
Vector potentials
Wave equations
Wave functions
geometric quantum phase
solutions of wave equations: bound-states solutions
Relativistic wave equations
nontrivial topology
special functions
Online AccessGet full text
ISSN0217-751X
1793-656X
DOI10.1142/S0217751X23500483

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Abstract In this paper, we study the relativistic quantum motions of spin-zero scalar bosons confined by the quantum flux field in the presence of Coulomb-type scalar potential in the background of a topologically nontrivial 4D space–time. Afterwards, we introduce a Coulomb-like vector potential through a minimal substitution in the wave equation and determine the eigenvalue solutions of the quantum system analytically. In fact, it is shown there that the nontrivial topology of the geometry, Coulomb-types scalar and vector potential, and the quantum flux field influence the energy profile and wave function of the scalar bosons and get them modified. Also, the gravitational analogue of the Aharonov–Bohm effect is observed because the energy eigenvalue depends on the geometric quantum phase.
AbstractList In this paper, we study the relativistic quantum motions of spin-zero scalar bosons confined by the quantum flux field in the presence of Coulomb-type scalar potential in the background of a topologically nontrivial 4D space–time. Afterwards, we introduce a Coulomb-like vector potential through a minimal substitution in the wave equation and determine the eigenvalue solutions of the quantum system analytically. In fact, it is shown there that the nontrivial topology of the geometry, Coulomb-types scalar and vector potential, and the quantum flux field influence the energy profile and wave function of the scalar bosons and get them modified. Also, the gravitational analogue of the Aharonov–Bohm effect is observed because the energy eigenvalue depends on the geometric quantum phase.
Author Ahmed, Faizuddin
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  fullname: Ahmed, Faizuddin
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2023. World Scientific Publishing Company
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Keywords geometric quantum phase
solutions of wave equations: bound-states solutions
Relativistic wave equations
nontrivial topology
special functions
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Snippet In this paper, we study the relativistic quantum motions of spin-zero scalar bosons confined by the quantum flux field in the presence of Coulomb-type scalar...
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SubjectTerms Bosons
Eigenvalues
Physics
Quantum theory
Relativistic effects
Topology
Vector potentials
Wave equations
Wave functions
Title Effects of nontrivial topology with Coulomb-types scalar and vector potential on relativistic quantum motions of scalar charged bosons
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