Matrix elements for a generalized spiked harmonic oscillator
- 1 December 1998
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 39 (12) , 6345-6352
- https://doi.org/10.1063/1.532641
Abstract
Closed form expressions for the singular-potential integrals 〈m|x −α |n〉 are obtained with respect to the Gol’dman and Krivchenkov eigenfunctions for the singular potential Bx 2 +A/x 2 , B>0, A⩾0. The formulas obtained are generalizations of those found earlier by use of the odd solutions of the Schrödinger equation with the harmonic oscillator potential [Aguilera-Navarro et al., J. Math. Phys. 31, 99 (1990)].Keywords
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This publication has 2 references indexed in Scilit:
- Smooth transformations of Kratzer’s potential in N dimensionsThe Journal of Chemical Physics, 1998
- Variational and perturbative schemes for a spiked harmonic oscillatorJournal of Mathematical Physics, 1990