Superalgebras for the Penning trap

被引：1
|
作者：
Russell, N [1 ]
机构：
[1] No Michigan Univ, Dept Phys, Marquette, MI 49855 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2001年 / 42卷 / 11期
关键词：
D O I：
10.1063/1.1404386
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2001 American Institute of Physics.
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页码：5315 / 5328
页数：14
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