A New Approach to the Exact Solutions of the Effective Mass Schrödinger Equation

By C. Tezcan, R. Sever, Ö. Yeşiltaş. 2007

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Abstract Effective mass Schrödinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function. The effective mass Schrödinger equation is also solved for the Morse potential transforming to the constant mass Schrödinger equation for a potential. One can also get solution of the effective mass Schrödinger equation starting from the constant mass Schrödinger equation.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cbb5e4152e96f07b7921b768031e9d639dccfe3f