2020arXiv (Cornell University)Open access

Solutions of the Schrodinger Equation for Modified Mobius Square Potential using two Approximation Scheme

C. M. Ekpo, Jonathan Osang, E. B. Ettah

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Abstract

In this paper, the Schrodinger equation for s-wave and arbitrary angular momenta with the Modified Mobuis Square potential is investigated respectively. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.

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In this paper, the Schrodinger equation for s-wave and arbitrary angular momenta with the Modified Mobuis Square potential is investigated respectively. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.

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Available abstract

In this paper, the Schrodinger equation for s-wave and arbitrary angular momenta with the Modified Mobuis Square potential is investigated respectively. The eigenfunctions as well as energy eigenvalues are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.

Key concepts: Scheme (mathematics), Schrödinger equation, Square (algebra), Mathematics, Schrödinger's cat, Applied mathematics, Mathematical physics, Mathematical analysis

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