Exact solutions of the generalized Klein–Gordon oscillator in a global monopole space-time

We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential under the influence of a point-like global monopole space-time. The non-central potential consists of r - and θ -dependent potentials S ( r ,...

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Published inEuropean physical journal plus Vol. 136; no. 7; p. 788
Main Authors Montigny, Marc de, Hassanabadi, Hassan, Pinfold, James, Zare, Soroush
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
Springer Nature B.V
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Abstract We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential under the influence of a point-like global monopole space-time. The non-central potential consists of r - and θ -dependent potentials S ( r , θ ) , and our generalized oscillator involves a function f ( r ), such that the radial part of S ( r , θ ) is chosen as the Coulomb and harmonic oscillator potentials, and f ( r ) is selected as the Coulomb and linear functions, respectively. We analyze a θ -dependent potential introduced by Berkdemir. Besides, we find exact analytical solutions of this generalized Klein–Gordon quantum oscillator in such background by means of the Nikiforiov–Uvarov method.
AbstractList We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential under the influence of a point-like global monopole space-time. The non-central potential consists of r - and θ -dependent potentials S ( r , θ ) , and our generalized oscillator involves a function f ( r ), such that the radial part of S ( r , θ ) is chosen as the Coulomb and harmonic oscillator potentials, and f ( r ) is selected as the Coulomb and linear functions, respectively. We analyze a θ -dependent potential introduced by Berkdemir. Besides, we find exact analytical solutions of this generalized Klein–Gordon quantum oscillator in such background by means of the Nikiforiov–Uvarov method.
We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential under the influence of a point-like global monopole space-time. The non-central potential consists of r- and θ-dependent potentials S(r,θ), and our generalized oscillator involves a function f(r), such that the radial part of S(r,θ) is chosen as the Coulomb and harmonic oscillator potentials, and f(r) is selected as the Coulomb and linear functions, respectively. We analyze a θ-dependent potential introduced by Berkdemir. Besides, we find exact analytical solutions of this generalized Klein–Gordon quantum oscillator in such background by means of the Nikiforiov–Uvarov method.
ArticleNumber 788
Author Zare, Soroush
Pinfold, James
Montigny, Marc de
Hassanabadi, Hassan
Author_xml – sequence: 1
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  orcidid: 0000-0001-5384-2891
  surname: Montigny
  fullname: Montigny, Marc de
  email: mdemonti@ualberta.ca
  organization: Faculté Saint-Jean, University of Alberta
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  givenname: Hassan
  surname: Hassanabadi
  fullname: Hassanabadi, Hassan
  organization: Faculty of Physics, Shahrood University of Technology
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  givenname: James
  surname: Pinfold
  fullname: Pinfold, James
  organization: Physics Department, University of Alberta
– sequence: 4
  givenname: Soroush
  surname: Zare
  fullname: Zare, Soroush
  organization: Faculty of Physics, Shahrood University of Technology
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SSID ssj0000491494
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Snippet We obtain analytical solutions of the generalized Klein–Gordon relativistic quantum oscillator for spin-zero bosons in the presence of a non-central potential...
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SubjectTerms Applied and Technical Physics
Atomic
Bosons
Charged particles
Complex Systems
Condensed Matter Physics
Exact solutions
Harmonic oscillators
Investigations
Linear functions
Magnetic fields
Mathematical analysis
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Oscillators
Phase transitions
Physics
Physics and Astronomy
Quantum theory
Regular Article
Sensors
Spacetime
Symmetry
Theoretical
Universe
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Title Exact solutions of the generalized Klein–Gordon oscillator in a global monopole space-time
URI https://link.springer.com/article/10.1140/epjp/s13360-021-01786-1
https://www.proquest.com/docview/2919544942
Volume 136
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