Magneto-transport and thermal properties of the Yukawa potential in cosmic string space-time

Edet, C. O.; Nwbabuzor, P.O.; Ettah, E. B.; Duque, C.A.; Ali, Noraziah; Ikot, Akpan N.; Mahmoud, S. M.; Asjad, Muhammad Imran

doi:10.1016/j.rinp.2022.105749

Cited by 33 publications

(24 citation statements)

References 53 publications

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“…The spin-connection of the cosmic string space-time using the tetrad basis (9) and the Christoffel symbols Γ σ µν given in (10) are as follows:…”

Section: Cosmic String Space-timementioning

confidence: 99%

“…(38) and (63) and then other thermodynamic properties, such as the vibrational free energy, mean energy, specific heat capacity, and entropy of the system and analyze the effects of the topological defects on them. As stated earlier, the thermodynamic properties of the quantum system in the background of topological defects have been known only in a few works [10,[48][49][50][51].…”

Section: Thermodynamic Properties Of the Quantum Systemmentioning

confidence: 99%

“…In addition, the non-relativistic wave equation has also been studied in the background of topological defects with physical potential models (see, Refs. [10][11][12]).…”

Section: Introductionmentioning

confidence: 99%

“…However, studies of the thermodynamic properties in the backgrounds of the topological defects produced by cosmic string space-time and point-like global monopole have been done only in a few works. These are thermodynamic properties of neutral particles in the presence of topological defects in a magnetic cosmic string background [48], thermodynamic properties of the anharmonic oscillator in a spinning cosmic string spacetime background [49], thermal and magnetic properties of diatomic molecules confined by the AB-flux and magnetic fields in a topological defect produced by cosmic string space-time [50], thermo-magnetic properties of Yukawa potential in a cosmic string space-time [10], thermal properties of a few diatomic molecules with the generalized Morse potential in a cosmic string space-time [51].…”

Section: Introductionmentioning

confidence: 99%

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Effects of Quantum Flux Field on Generalized Duffin-Kemmer-Petiau Oscillator in Conical Space-Times and Thermodynamic Properties

Ahmed

Candemir

2023

Preprint

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In this article, we study the generalized Duffin-Kemmer-Petiau (DKP) oscillator in the presence ofthe Aharonov-Bohm (AB) flux field in a topological defect space-times background. This generalized DKPoscillator will investigate by a nonminimal substitution of the momentum operator $\vec{p} →\vec{p}+i M ω η^{0} f(r) \hat{r}$ in the relativistic DKP equation, where f(r) is the linear plus Coulomb potential function (called Cornell-typepotential function). We solve this wave equation in a cosmic string space-time background and obtain theenergy levels and the wave function using the parametric Nikiforov-Uvarov method. Afterwards, we solve thegeneralized DKP oscillator in a point-like global monopole background, and obtain the energy levels and thewave functions using the same method. We see that the energy eigenvalues depend on the geometric quantumphase, and thus, calculate the persistent currents of the quantum system. Finally, we study the thermodynamicproperties of the quantum systems and calculate the partition function and other quantities, such as Helmholtzfree energy, mean free energy, specific heat capacity, and entropy in cosmic string space-time and point-likeglobal monopole background. We show that the eigenvalue solutions and thermodynamic functions obtainedin both cases are influenced by the topological defects of cosmic string space-time and global monopole, thequantum flux field, and the Cornell-type potential function and get them modified in comparison to the flatspace result. PACS 03.65.Pm · 03.65.Ge · 14.80.Hv · 98.80.Cq · 02.30.Gp · 05.30.-d · 05.70.Ce

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“…The spin-connection of the cosmic string space-time using the tetrad basis (9) and the Christoffel symbols Γ σ µν given in (10) are as follows:…”

Section: Cosmic String Space-timementioning

confidence: 99%

Section: Thermodynamic Properties Of the Quantum Systemmentioning

confidence: 99%

“…In addition, the non-relativistic wave equation has also been studied in the background of topological defects with physical potential models (see, Refs. [10][11][12]).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effects of Quantum Flux Field on Generalized Duffin-Kemmer-Petiau Oscillator in Conical Space-Times and Thermodynamic Properties

Ahmed

Candemir

2023

Preprint

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“…In this section, we will study the thermodynamic properties of the above quantum system. The thermodynamic properties of quantum systems can be obtained from the exact partition function given by [1,[14][15][16][17][18][19][20][21][22][23][24]26]…”

Section: Thermodynamic Properties and Persistent Currents Of The Quan...mentioning

confidence: 99%

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

Ahmed

2022

Preprint

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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.

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Study of Thermomagnetic Properties for Non-Relativistic Particle with Position Dependent Mass in the Presence of Topological Defect and External Magnetic Field: Theory and Simulation

et al. 2023

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Magneto-transport and thermal properties of the Yukawa potential in cosmic string space-time

Cited by 33 publications

References 53 publications

Effects of Quantum Flux Field on Generalized Duffin-Kemmer-Petiau Oscillator in Conical Space-Times and Thermodynamic Properties

Effects of Quantum Flux Field on Generalized Duffin-Kemmer-Petiau Oscillator in Conical Space-Times and Thermodynamic Properties

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

Study of Thermomagnetic Properties for Non-Relativistic Particle with Position Dependent Mass in the Presence of Topological Defect and External Magnetic Field: Theory and Simulation

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