Superalgebras for the Penning Trap

Details Superalgebras for the Penning Trap Superalgebras for the Penning Trap

2001-05-14

arxiv.org/abs/quant-ph/0105064v1

J.Math.Phys. 42 (2001) 5315-5328

Physics

Quantum Physics

25 pages, 3 eps figures

Scientific paper

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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