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Approximate eigenvalue and eigenfunction solutions for the generalized Hulthén potential with any angular momentum. (English) Zbl 1132.81352
Summary: An approximate solution of the Schrödinger equation for the generalized Hulthén potential with non-zero angular quantum number is solved. The bound state energy eigenvalues and eigenfunctions are obtained in terms of Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. We have considered the time-independent Schrödinger equation with the associated form of Hulthén potential which simulate the effect of the centrifugal barrier for any l-state. The energy levels of the used Hulthén potential gives satisfactory values for the non-zero angular momentum as the generalized Hulthén effective potential.
MSC:
81V55Applications of quantum theory to molecular physics
81Q05Closed and approximate solutions to quantum-mechanical equations
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