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Superalgebras for the Penning Trap | Neil Russell
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14 May 2001 | Journal: | J.Math.Phys. 42 (2001) 5315-5328 | Subject: | quant-ph hep-ph | 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. | Source: | arXiv, quant-ph/0105064 | Services: | Forum | Review | PDF | Favorites |
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