dorsal/arxiv
View SchemaSupersymmetry in quantum mechanics: An extended view
| Authors | A. R. P. Rau |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401150 |
| URL | https://arxiv.org/abs/quant-ph/0401150 |
| DOI | 10.1088/0305-4470/37/43/028 |
| Journal | J.Phys. A37 (2004) 10421 |
Abstract
The concept of supersymmetry in a quantum mechanical system is extended, permitting the recognition of many more supersymmetric systems, including very familiar ones such as the free particle. Its spectrum is shown to be supersymmetric, with space-time symmetries used for the explicit construction. No fermionic or Grassmann variables need to be invoked. Our construction extends supersymmetry to continuous spectra. Most notably, while the free particle in one dimension has generally been regarded as having a doubly degenerate continuum throughout, the construction clarifies taht there is a single zero energy state at the base of the spectrum.
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"abstract": "The concept of supersymmetry in a quantum mechanical system is extended,\npermitting the recognition of many more supersymmetric systems, including very\nfamiliar ones such as the free particle. Its spectrum is shown to be\nsupersymmetric, with space-time symmetries used for the explicit construction.\nNo fermionic or Grassmann variables need to be invoked. Our construction\nextends supersymmetry to continuous spectra. Most notably, while the free\nparticle in one dimension has generally been regarded as having a doubly\ndegenerate continuum throughout, the construction clarifies taht there is a\nsingle zero energy state at the base of the spectrum.",
"arxiv_id": "quant-ph/0401150",
"authors": [
"A. R. P. Rau"
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"doi": "10.1088/0305-4470/37/43/028",
"journal_ref": "J.Phys. A37 (2004) 10421",
"title": "Supersymmetry in quantum mechanics: An extended view",
"url": "https://arxiv.org/abs/quant-ph/0401150"
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