Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential

Ikot, Akpan N.; Edet, C. O.; Amadi, P. O.; Okorie, U. S.; Rampho, G. J.; Abdullah, Hewa Y.

doi:10.1140/epjd/e2020-10084-9

Cited by 87 publications

(59 citation statements)

References 70 publications

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“…2 i,j increases with increasing and respectively. The behaviour of the thermal properties in the present study are in accordance with those reported in refs 68 , 71 , 72 . Table 1 is the numerical values for spin symmetry energies for , , and .…”

Section: Discussionsupporting

confidence: 93%

“…Ikhdair 67 calculated a rotational and vibrational energies of diatomic molecules in Klein–Gordon equation using hyperbolic scalar and vector potential by means of parametric Nikiforov–Uvarov method. Ikot et al 68 studied Schrodinger equation with screen Kratzer potential in the presence of external magnetic and AB flux field using factorisation method. The eigenvalue and the eigenfunction of the system were presented in a close form while magnetisation and magnetic susceptibility were evaluated at zero and finite temperatures as well as thermodynamic properties.…”

Section: Introductionmentioning

confidence: 99%

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Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

Okon

Omugbe

Antia

et al. 2021

Sci Rep

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In this research article, the modified approximation to the centrifugal barrier term is applied to solve an approximate bound state solutions of Dirac equation for spin and pseudospin symmetries with hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential using parametric Nikiforov–Uvarov method. The energy eigen equation and the unnormalised wave function were presented in closed and compact form. The nonrelativistic energy equation was obtain by applying nonrelativistic limit to the relativistic spin energy eigen equation. Numerical bound state energies were obtained for both the spin symmetry, pseudospin symmetry and the non relativistic energy. The screen parameter in the potential affects the solutions of the spin symmetry and non-relativistic energy in the same manner but in a revised form for the pseudospin symmetry energy equation. In order to ascertain the accuracy of the work, the numerical results obtained was compared to research work of existing literature and the results were found to be in excellent agreement to the existing literature. The partition function and other thermodynamic properties were obtained using the compact form of the nonrelativistic energy equation. The proposed potential model reduces to Hulthen and exponential inversely quadratic potential as special cases. All numerical computations were carried out using Maple 10.0 version and Matlab 9.0 version softwares respectively.

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Section: Discussionsupporting

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

Okon

Omugbe

Antia

et al. 2021

Sci Rep

View full text Add to dashboard Cite

show abstract

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] Likewise, some oscillator potentials that are closely related to this potential have already been studied a few years ago. [17,18] Recently, bound-state solutions have been obtained for the Kratzer potential, [19,20] Morse, Pöschl-Teller potential, [21] Deng-Fan-Eckart potential, [22] and Aharanov-Bohm magnetic field, [18,19,23] and some of them have been investigated for information theoretic measures and the thermal properties of some molecules.…”

Section: Introductionmentioning

confidence: 99%

Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D

Ghosh¹,

Nath

2020

Int J of Quantum Chemistry

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Exact solutions of a pseudoharmonic oscillator and a family of isospectral potentials are investigated in spherical coordinates. The entropic moment, generalized quantum similarity index, and some quantum information measures are investigated analytically and numerically for two density functions of two quantum systems with same energy and one quantum system with different energies. Analytical results are compared for 19 selected molecules and verified by some physical and artificial values of the spectroscopic parameters.

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“…Thermodynamic functions such as; free energy, entropy, internal energy, and specific heat capacity functions can be obtained from the partition function (31) as follows [20].…”

Section: Thermal Properties Of Generalized Trigonometric Pöschl-tellementioning

confidence: 99%

“…The exact analytical solutions of the Schrödinger equation with some of these potentials are only possible for = 0. For = 0 states, one has to employ some approximations, such as the Pekeris approximation [17,18], to deal with the orbit centrifugal term or solve numerically [19,20]. Several mathematical approaches have been developed to solve differential equations arising from these considerations.…”

Section: Introductionmentioning

confidence: 99%

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

et al. 2020

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Analytical solutions of the Schrödinger equation for the generalized trigonometric Pöschl–Teller potential by using an appropriate approximation to the centrifugal term within the framework of the Functional Analysis Approach have been considered. Using the energy equation obtained, the partition function was calculated and other relevant thermodynamic properties. More so, we use the concept of the superstatistics to also evaluate the thermodynamics properties of the system. It is noted that the well-known normal statistics results are recovered in the absence of the deformation parameter and this is displayed graphically for the clarity of our results. We also obtain analytic forms for the energy eigenvalues and the bound state eigenfunction solutions are obtained in terms of the hypergeometric functions. The numerical energy spectra for different values of the principal and orbital quantum numbers are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the trigonometric Pöschl–Teller potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods

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Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential

Cited by 87 publications

References 70 publications

Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

Generalized quantum similarity index: An application to pseudoharmonic oscillator with isospectral potentials in 3D

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

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