Matrix elements for a generalized spiked harmonic oscillator

被引:33
|
作者
Hall, RL [1 ]
Saad, N [1 ]
von Keviczky, AB [1 ]
机构
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
关键词
D O I
10.1063/1.532641
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 oscillator potential [Aguilera-Navarro et al., J. Math. Phys. 31, 99 (1990)]. (C) 1998 American Institute of Physics. [S0022-2488(98)00812-3].
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页码:6345 / 6352
页数:8
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