dorsal/arxiv
View SchemaSuperalgebras for the Penning Trap
| Authors | Neil Russell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105064 |
| URL | https://arxiv.org/abs/quant-ph/0105064 |
| DOI | 10.1063/1.1404386 |
| Journal | J.Math.Phys. 42 (2001) 5315-5328 |
Abstract
The hamiltonian describing a single fermion in a Penning trap is shown to be supersymmetric in certain cases. The supersymmetries of interest occur when the ratio of the cyclotron frequency to the axial frequency is 3/2 and the particle has anomalous magnetic moment 4/3 or 2/3. At these supersymmetric points, the spectrum shows uniformly spaced crossed levels. The associated superalgebras are su(2|1) and su(1|1). The phase space for this problem has an osp(2|6) structure and contains all the degeneracy superalgebras.
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"abstract": "The hamiltonian describing a single fermion in a Penning trap is shown to be\nsupersymmetric in certain cases. The supersymmetries of interest occur when the\nratio of the cyclotron frequency to the axial frequency is 3/2 and the particle\nhas anomalous magnetic moment 4/3 or 2/3. At these supersymmetric points, the\nspectrum shows uniformly spaced crossed levels. The associated superalgebras\nare su(2|1) and su(1|1). The phase space for this problem has an osp(2|6)\nstructure and contains all the degeneracy superalgebras.",
"arxiv_id": "quant-ph/0105064",
"authors": [
"Neil Russell"
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"doi": "10.1063/1.1404386",
"journal_ref": "J.Math.Phys. 42 (2001) 5315-5328",
"title": "Superalgebras for the Penning Trap",
"url": "https://arxiv.org/abs/quant-ph/0105064"
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