Year: 2001
Type: article
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 32 and the particle has anomalous magnetic moment 43 or 23. 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: Journal of Mathematical Physics
DOI: 10.1063/1.1404386
Author: Neil Russell
Institution: Northern Michigan University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1996631706