dorsal/arxiv
View SchemaQuantum equivalent of the Bertrand's theorem
| Authors | N. Gurappa, Prasanta K. Panigrahi, T. Soloman Raju |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905011 |
| URL | https://arxiv.org/abs/quant-ph/9905011 |
| DOI | 10.1142/S0217732300002255 |
| Journal | Mod.Phys.Lett.A15:1851-1858,2000 |
Abstract
A procedure for constructing bound state potentials is given. We show that, under the natural conditions imposed on a radial eigenvalue problem, the only special cases of the general central potential, which are exactly solvable and have infinite number of energy eigenvalues, are the Coulomb and harmonic oscillator potentials.
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"abstract": "A procedure for constructing bound state potentials is given. We show that,\nunder the natural conditions imposed on a radial eigenvalue problem, the only\nspecial cases of the general central potential, which are exactly solvable and\nhave infinite number of energy eigenvalues, are the Coulomb and harmonic\noscillator potentials.",
"arxiv_id": "quant-ph/9905011",
"authors": [
"N. Gurappa",
"Prasanta K. Panigrahi",
"T. Soloman Raju"
],
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"quant-ph"
],
"doi": "10.1142/S0217732300002255",
"journal_ref": "Mod.Phys.Lett.A15:1851-1858,2000",
"title": "Quantum equivalent of the Bertrand\u0027s theorem",
"url": "https://arxiv.org/abs/quant-ph/9905011"
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