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Home  >  Volume 59

5. SUSYQM APPROACH TO ENERGY SPECTRA AND WAVE FUNCTIONS OF THE TIETZ POTENTIAL by Bitrus B.M, Umar W, Nwabueze C.M Volume 59 (January – March 2021 Issue)
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SUSYQM APPROACH TO ENERGY SPECTRA AND WAVE FUNCTIONS OF THE TIETZ POTENTIAL

Bitrus B.M1., Umar W2., Nwabueze C.M3.

Department of Physics, Faculty of Science, Taraba State University, P.M.B. 1176, Jalingo Taraba State, Nigeria

Department of Physics, School of Sciences, Aminu Saleh College of Education, P.M.B. 044, Azare, Bauchi State, Nigeria

Abstract

In this paper, ideas of the supersymmetric quantum mechanics (SUSYQ) has been used to obtain closed form analytical expression for bound state energy eigenvalues of the Tietz potential. The corresponding normalized eigenfunction was obtained by ansatz method. The Greene-Aldrich approximation model was used to deal with the centrifugal term of the effective potential energy function. Bound state energy eigenvalues were calculated for arbitrary rotational and vibrational quantum numbers, the results obtained are in excellent agreement with existing data for bound state eigen energies of the Tietz potential in the literature. The results obtained in the work may be useful in many areas of physics which include nuclear physics, atomic physics, chemical physics and solid-state physics.

Keywords: Energy eigenvalues, eigenfunctions, shape invariance, super potential, SUSYQM, Tietz potential

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