THE ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH GENERALIZED HULTHEN PLUS A NEW RING SHAPED LIKE POTENTIAL

Year 2016, Volume: 29 Issue: 4, 937 - 946, 19.12.2016

Akpan Ndem Ikot , Eser Olgar H. Hassanabadi

Abstract

In this paper, we study the Schrödinger equation with the generalized Hulthen potential plus a new ring shaped potential. We obtained approximately the bound state energy spectra and the corresponding wave function using the functional analysis method. We use the well-known Hellmann-Feynmann theorem to calculate the expectation values for  ,,  and .We also discussed the special case of the potential which is consistent with the results found in the literature.

Keywords

: Schrödinger equation, generalized Hulthen potential, new ring shaped potential, Hellmann-Feynmann Theorem,

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