Approximate Solution of the Spin-0 Particle Subject to the Trigonometric Pöschl–Teller Potential with Centrifugal Barrier

Hamzavi, Majid; Rajabi, A. A.; Amirfakhrian, M.

doi:10.5560/zna.2013-0030

Cited by 2 publications

(3 citation statements)

References 16 publications

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“…It is noted that for a short-range potential, the relation Eq. (5) is a good approximation to 1/r 2 , as proposed by Greene and Aldrich [19,53] approximation. This implies that Eq.…”

Section: Energy Levels and Wavefunctionsmentioning

confidence: 76%

“…For example, Liu et al [51] carried out a fermionic analysis with this potential. The bound state solutions have also been carried out in the relativistic regime by Falaye and Ikhdair [52], Chen [53], Candemir [54]. and Hamzavi [55].…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by Ref. [50][51][52][53][54][55][56][57], we propose a modification to the trigonometric Pöschl-Teller potential, called the Generalized trigonometric Pöschl-Teller potential. This potential is given as:…”

Section: Introductionmentioning

confidence: 99%

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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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“…It is noted that for a short-range potential, the relation Eq. (5) is a good approximation to 1/r 2 , as proposed by Greene and Aldrich [19,53] approximation. This implies that Eq.…”

Section: Energy Levels and Wavefunctionsmentioning

confidence: 76%