Matrix elements for a generalized spiked harmonic oscillator
Richard L. Hall, Nasser Saad, Attila B. von Keviczky
Abstract
Closed-form expressions for the singular-potential integrals <m| x-alpha |n> are obtained with respect to the Gol'dman and Krivchenkov eigenfunctions for the singular potential V(x) = B x2 + A/x2, B > 0, A >= 0. These formulas are generalizations of those found earlier by use of the odd solutions of the Schroedinger equation with the harmonic oscillator potential [Aguilera-Navarro et al, J. Math. Phys. 31, 99 (1990)].
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