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Analytical Solution of the Schrödinger Equation for the Linear Combination of the Hulthén and Yukawa-Class Potentials

  • ELEMENTARY PARTICLE PHYSICS AND FIELD THEORY
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Russian Physics Journal Aims and scope

In this study, the bound state solution of the modified Schrödinger equation is found for the new supposed combined Hultén and Yukawa-class potentials. Analytical expressions for the energy eigenvalue and the corresponding radial wave functions are obtained for arbitrary orbital quantum number l ≠ 0 . The eigenfunctions obtained are expressed in terms of hypergeometric functions. It is shown that the energy levels and the eigenfunctions are susceptible to the potential parameters. The energy eigenvalues and the corresponding radial wave functions are determined for several special cases.

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Authors and Affiliations

  1. Baku State University, Baku, Azerbaijan

    G. A. Bayramova

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  1. G. A. Bayramova
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Correspondence to G. A. Bayramova.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 9–20, January, 2022.

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Bayramova, G.A. Analytical Solution of the Schrödinger Equation for the Linear Combination of the Hulthén and Yukawa-Class Potentials. Russ Phys J 65, 7–20 (2022). https://doi.org/10.1007/s11182-022-02602-8

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  • DOI: https://doi.org/10.1007/s11182-022-02602-8

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