Analytical solution of the Shredinger equation for the linear combination of the Manning-Rosen and the class of Yukawa potential | Izvestiya vuzov. Fizika. 2021. № 9. DOI: 10.17223/00213411/64/9/157

Analytical solution of the Shredinger equation for the linear combination of the Manning-Rosen and the class of Yukawa potential

In the present work, an analytical solution for bound states of the modified Schrödinger equation is found for the new supposed combined Manning-Rosen potential plus the Yukawa class. To overcome the difficulties arising in the case l ≠ 0 in the centrifugal part of the Manning-Rosen potential plus the Yukawa class for bound states, we applied the developed approximation. Analytical expressions for the energy eigenvalue and the corresponding radial wave functions for an arbitrary value l ≠ 0 of the orbital quantum number are obtained. And also obtained eigenfunctions expressed in terms of hypergeometric functions. It is shown that energy levels and eigenfunctions are very sensitive to the choice of potential parameters.

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Keywords

Schrödinger equation, Manning-Rosen potential plus a class of Yukawa potential, Nikiforov-Uvarov method

Authors

Name	Organization	E-mail
Bayramova G.A.	Baku State University	gyunel.bayramova.91@mail.ru

Всего: 1

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