dorsal/arxiv
View SchemaApplications of Partial Supersymmetry
| Authors | Donald Spector |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310149 |
| URL | https://arxiv.org/abs/quant-ph/0310149 |
| DOI | 10.1088/0305-4470/37/17/015 |
| Journal | J.Phys.A37:4861-4870,2004 |
Abstract
I examine quantum mechanical Hamiltonians with partial supersymmetry, and explore two main applications. First, I analyze a theory with a logarithmic spectrum, and show how to use partial supersymmetry to reveal the underlying structure of this theory. This method reveals an intriguing equivalence between two formulations of this theory, one of which is one-dimensional, and the other of which is infinite-dimensional. Second, I demonstrate the use of partial supersymmetry as a tool to obtain the asymptotic energy levels in non-relativistic quantum mechanics in an exceptionally easy way. In the end, I discuss possible extensions of this work, including the possible connections between partial supersymmetry and renormalization group arguments.
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"abstract": "I examine quantum mechanical Hamiltonians with partial supersymmetry, and\nexplore two main applications. First, I analyze a theory with a logarithmic\nspectrum, and show how to use partial supersymmetry to reveal the underlying\nstructure of this theory. This method reveals an intriguing equivalence between\ntwo formulations of this theory, one of which is one-dimensional, and the other\nof which is infinite-dimensional. Second, I demonstrate the use of partial\nsupersymmetry as a tool to obtain the asymptotic energy levels in\nnon-relativistic quantum mechanics in an exceptionally easy way. In the end, I\ndiscuss possible extensions of this work, including the possible connections\nbetween partial supersymmetry and renormalization group arguments.",
"arxiv_id": "quant-ph/0310149",
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"Donald Spector"
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"doi": "10.1088/0305-4470/37/17/015",
"journal_ref": "J.Phys.A37:4861-4870,2004",
"title": "Applications of Partial Supersymmetry",
"url": "https://arxiv.org/abs/quant-ph/0310149"
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