Matrix elements for a generalized spiked harmonic oscillator

Citation
Rl. Hall et al., Matrix elements for a generalized spiked harmonic oscillator, J MATH PHYS, 39(12), 1998, pp. 6345-6352
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
39
Issue
12
Year of publication
1998
Pages
6345 - 6352
Database
ISI
SICI code
0022-2488(199812)39:12<6345:MEFAGS>2.0.ZU;2-6
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 Bx(2) +A/x(2), B >0, A greater than or equal to 0. The formulas obtained are generalizations of those found earlier by use of the odd solutions of the Schrodinger equation with the harmonic oscillat or potential [Aguilera-Navarro et al., J. Math. Phys. 31, 99 (1990)]. (C) 1 998 American Institute of Physics. [S0022-2488(98)00812-3].