dorsal/arxiv
View SchemaNon-Fuchsian Singularities in Quantum Mechanics
| Authors | Giampiero Esposito |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901002 |
| URL | https://arxiv.org/abs/quant-ph/9901002 |
| Journal | Found.Phys.Lett. 13 (2000) 29-40 |
Abstract
A modification of the spiked harmonic oscillator is studied in the case for which the perturbation potential contains both an inverse power and a linear term. It is then possible to evaluate trial functions by solving an integral equation due to the occurrence of the linear term. The general form of such integral equation is obtained by using a Green-function method, and adding a modified Bessel function of second kind which solves an homogeneous problem with Dirichlet boundary condition at the origin.
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"abstract": "A modification of the spiked harmonic oscillator is studied in the case for\nwhich the perturbation potential contains both an inverse power and a linear\nterm. It is then possible to evaluate trial functions by solving an integral\nequation due to the occurrence of the linear term. The general form of such\nintegral equation is obtained by using a Green-function method, and adding a\nmodified Bessel function of second kind which solves an homogeneous problem\nwith Dirichlet boundary condition at the origin.",
"arxiv_id": "quant-ph/9901002",
"authors": [
"Giampiero Esposito"
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"journal_ref": "Found.Phys.Lett. 13 (2000) 29-40",
"title": "Non-Fuchsian Singularities in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9901002"
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