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arXiv · quant-ph/9812048

Matrix elements for a generalized spiked harmonic oscillator

Richard L. Hall·Nasser Saad·Attila B. von Keviczky
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Abstract

Closed-form expressions for the singular-potential integrals are obtained with respect to the Gol'dman and Krivchenkov eigenfunctions for the singular potential V(x) = B x^2 + A/x^2, 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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Richard L. Hall, Nasser Saad, Attila B. von Keviczky. 1998-12-17. Matrix elements for a generalized spiked harmonic oscillator. https://doi.org/10.1063/1.532641

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