dorsal/arxiv
View SchemaA Supersymmetric Treatment of a Particle Subjected to a Ring-shaped Potential
| Authors | Gardo Garnet Blado |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9511040 |
| URL | https://arxiv.org/abs/quant-ph/9511040 |
| Journal | International Journal of Quantum Chemistry volume 58, (1996) page 431 |
Abstract
The ring-shaped Hartmann potential $V = \eta \sigma^{2} \epsilon_{0} \left( \frac{2 a_{0}}{r} - \frac{\eta a_{0}^{2}}{r^{2} sin^{2} \theta} \right)$ was introduced in quantum chemistry to describe ring-shaped molecules like benzene. In this article, fundamental concepts of supersymmetric quantum mechanics (SUSYQM) are discussed. The energy eigenvalues and (radial) eigenfunctions of the Hartmann potential are subsequently rederived using the techniques of SUSYQM.
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"abstract": "The ring-shaped Hartmann potential $V = \\eta \\sigma^{2} \\epsilon_{0} \\left(\n\\frac{2 a_{0}}{r} - \\frac{\\eta a_{0}^{2}}{r^{2} sin^{2} \\theta} \\right)$ was\nintroduced in quantum chemistry to describe ring-shaped molecules like benzene.\nIn this article, fundamental concepts of supersymmetric quantum mechanics\n(SUSYQM) are discussed.\n The energy eigenvalues and (radial) eigenfunctions of the Hartmann potential\nare subsequently rederived using the techniques of SUSYQM.",
"arxiv_id": "quant-ph/9511040",
"authors": [
"Gardo Garnet Blado"
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"journal_ref": "International Journal of Quantum Chemistry volume 58, (1996) page\n 431",
"title": "A Supersymmetric Treatment of a Particle Subjected to a Ring-shaped Potential",
"url": "https://arxiv.org/abs/quant-ph/9511040"
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