dorsal/arxiv
View SchemaMatrix elements for a generalized spiked harmonic oscillator
| Authors | Richard L. Hall, Nasser Saad, Attila B. von Keviczky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812048 |
| URL | https://arxiv.org/abs/quant-ph/9812048 |
| DOI | 10.1063/1.532641 |
| Journal | J.Math.Phys. 39 (1998) 6345-6352 |
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 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)].
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"abstract": "Closed-form expressions for the singular-potential integrals \u003cm| x^-alpha |n\u003e\nare obtained with respect to the Gol\u0027dman and Krivchenkov eigenfunctions for\nthe singular potential V(x) = B x^2 + A/x^2, B \u003e 0, A \u003e= 0. These formulas are\ngeneralizations of those found earlier by use of the odd solutions of the\nSchroedinger equation with the harmonic oscillator potential [Aguilera-Navarro\net al, J. Math. Phys. 31, 99 (1990)].",
"arxiv_id": "quant-ph/9812048",
"authors": [
"Richard L. Hall",
"Nasser Saad",
"Attila B. von Keviczky"
],
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"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1063/1.532641",
"journal_ref": "J.Math.Phys. 39 (1998) 6345-6352",
"title": "Matrix elements for a generalized spiked harmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/9812048"
},
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