Relativistic Quantum Dynamics of Scalar Massive Charged Bosons in Topologically Nontrivial Space–Time and AB-Effect

2023

Phys. Scr.

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In this paper, we study the relativistic quantum motions of the oscillator field of the wave equation under the influence of the Aharonov-Bohm (AB) flux field with a Coulomb vector potential in the background of the topological defects produced by a cosmic string and global monopole space-time. We derive the radial equation of the generalized Duffin-Kemmer-Petiau (DKP) oscillator in a static cosmic string space-time and solve it through the Heun function equation. Afterwards, we derive the radial equation of the same generalizedDKP oscillator in a point-like global monopole background and obtain the eigenvalue solutions using the same procedure. The generalized oscillator field is studied by substituting the radial momentum operator $∂_{r} →(∂_{r}r + i\,M\,ω\,η^{0}\,f(r))$, where $f(r)$ is an arbitrary function other than linear and introduces a vector potential of Coulomb-types through a minimal substitution via $∂_{µ} → (∂_{µ} − i\,q\,A_{µ})$ in the relativistic wave equation. It is shown that the eigenvalue solutions of the oscillator field are influenced by the topological defects of the cosmic string and point-like global monopole space-times and get them modified. Furthermore, we see that the eigenvalue solutions depend on the geometric quantum phase, and hence, shifted them more in addition to the topological defects that show the gravitational analogue to the Aharonov-Bohm effect for the bound-states

Section: Introductionmentioning

confidence: 99%

Topological effects on generalized Duffin-Kemmer-Petiau oscillator under Aharonov–Bohm flux field and Coulomb potential

Candemir

2023

Phys. Scr.

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Thermodynamic Properties and Persistent Currents of Harmonic Oscillator Under AB-Flux Field in a Point-Like Defect with Inverse Square Potential

2023

J Low Temp Phys

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In this analysis, we study the eigenvalue solution of non-relativistic particles confined by the Aharonov-Bohm (AB) flux field with pseudoharmonic potential (harmonic oscillator plus inverse square potential) in a point-like global monopole defect. We then study the thermodynamic properties of harmonic oscillator, such as the vibrational free energy, mean energy, entropy, and specific heat capacity using the partition function Z(β ) and analyze the influences of the topological defects and the magnetic flux field with this potential.Finally, an expression of persistent currents is obtained and analyze the effects of the topological defects and the potential.

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

2023

Int. J. Mod. Phys. A

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.