Solutions of Schrödinger equation and thermal properties of generalized trigonometric Pöschl-Teller potential



Document title: Solutions of Schrödinger equation and thermal properties of generalized trigonometric Pöschl-Teller potential
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000454035
ISSN: 0035-001X
Authors: 1
1
1
2
3
3
Institutions: 1University of Port Harcourt, Choba, Port Harcourt. Nigeria
2Harran University, Health Services Vocational College, Sanliurfa. Turquía
3University of South Africa, Johannesburgo, Transvaal. Sudáfrica
Year:
Season: Nov-Dic
Volumen: 66
Number: 6
Pages: 824-839
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, descriptivo
English abstract 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 superstatistics to 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 (q = 0), and this is displayed graphically for the clarity of our results. We also obtain the normalized wave function in terms of the hypergeometric function. 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
Disciplines: Física y astronomía
Keyword: Física,
Potencial trigonométrico de Pöschl-Teller,
Método de factorización,
Superestadística,
Ecuación de Schrodinger
Keyword: Physics,
Trigonometric Pöschl-Teller potential,
Factorization method,
Superstatistics,
Schrödinger equation
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