Approximate Solutions of the Non-Relativistic Schrödinger Equation with Inversely Quadratic Yukawa plus Mobius Square Potential via Parametric Nikiforov-Uvarov Method

Akaninyene D. Antia, Imeh E. Essien, Emmanuel B. Umoren, Christian C. Eze

Abstract


We study Schrödinger equation for inversely quadratic Yukawa plus Mobius square potential using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding normalized wave function expressed in terms of the hypergeometric functions. Three special cases of this potential have been discussed. Numerical values of the energy eigenvalues are also computed for various states.

Keywords: Approximate solutions, Schrödinger equation, Nikiforov-Uvarov method, inversely quadratic Yukawa potential, Mobius square potential


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ISSN (Paper)2224-719X ISSN (Online)2225-0638

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