The Infinite Square Well with a Singular Perturbation

Author: Gadella M.   Glasser M.   Nieto L.  

Publisher: Springer Publishing Company

ISSN: 0020-7748

Source: International Journal of Theoretical Physics, Vol.50, Iss.7, 2011-07, pp. : 2191-2200

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Abstract

We study the influence of a singular potential on an infinite square well. Two cases are considered. In the first, the singular potential is centered in the potential well, in the second case it is off-center. We also present a discussion on the self adjointness of the Hamiltonian of some exactly solvable potentials perturbed with singular potentials.