Matrix elements for a generalized spiked harmonic oscillator
量子物理
2009-10-31 v1 数学物理
math.MP
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 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)].
关键词
引用
@article{arxiv.quant-ph/9812048,
title = {Matrix elements for a generalized spiked harmonic oscillator},
author = {Richard L. Hall and Nasser Saad and Attila B. von Keviczky},
journal= {arXiv preprint arXiv:quant-ph/9812048},
year = {2009}
}
备注
12 pages in plain tex with 1 ps figure