Matrix elements for a generalized spiked harmonic oscillator

Details Matrix elements for a generalized spiked harmonic oscillator Matrix elements for a generalized spiked harmonic oscillator

1998-12-17

arxiv.org/abs/quant-ph/9812048v1

J.Math.Phys. 39 (1998) 6345-6352

Physics

Quantum Physics

12 pages in plain tex with 1 ps figure

Scientific paper

10.1063/1.532641

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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