Exact Solutions of <i>D</i> -Dimensional Schrödinger Equation for an Energy-Dependent Potential by NU Method

Hassanabadi, H.; Zarrinkamar, S.; A. Rajabi, A.

doi:10.1088/0253-6102/55/4/01

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Exact Solutions of D -Dimensional Schrödinger Equation for an Energy-Dependent Potential by NU Method

Published in Communications in Theoretical Physics • Apr 1, 2011

Authors:

H. Hassanabadi

S. Zarrinkamar

A. A. Rajabi

Abstract

We study the D-dimensional Schrödinger equation for an energy-dependent Hamiltonian that linearly depends on energy and quadratically on the relative distance. Next, via the Nikiforov—Uvarov (NU) method, we calculate the corresponding eigenfunctions and eigenvalues.

Subject

Eigenfunction

Quadratic growth

Eigenvalues and eigenvectors

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