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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 63, Issue 2, Pages 103 - 114 (February 2012)

EXACTLY SOLVABLE HAMILTONIAN WITH POSITION DEPENDENT MASS RELATED TO THE GROUP SU(2)
F. Arıcak and M. Sezgin

Abstract:

In this paper, the infinitesimal operators of the regular representations of the group SU(2) are considered. The Hamiltonians H with position dependent mass are related to the Casimir operators C of the group. The energy eigenvalues and eigenfunctions are given for Pöschl-Teller potential.

Keywords and phrases: the group SU(2), Schrodinger equation, mass, Poschl-Teller potential.

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