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].
引用
收藏
页码:6345 / 6352
页数:8
相关论文
共 10 条
[1]   VARIATIONAL AND PERTURBATIVE SCHEMES FOR A SPIKED HARMONIC-OSCILLATOR [J].
AGUILERANAVARRO, VC ;
ESTEVEZ, GA ;
GUARDIOLA, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (01) :99-104
[2]  
BEHNKE H, 1976, THEORIE ANAL FUNKTIO, P138
[3]  
DOETSCH G, 1971, HDB LAPLACE TRANSFOR, V1, P74
[4]  
Goldman II., 1961, PROBLEMS QUANTUM MEC
[5]   Smooth transformations of Kratzer's potential in N dimensions [J].
Hall, RL ;
Saad, N .
JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (08) :2983-2986
[6]  
Landau L.D., 1977, QUANTUM MECH NONRELA
[7]  
RUDIN W, 1987, REAL COMPLEX ANAL, P26
[8]  
SCHAFKE FW, 1963, EINFUHRUNG THEORIE S, P162
[9]  
Slater L., 1960, CONFLUENT HYPERGEOME
[10]  
WIDDER DV, 1972, LAPLACE TRANSFORM, P80