Nonrelativistic spin-1/2 particle in an arbitrary non-abelian magnetic field in two spatial dimensions

被引:1
|
作者
Clark, TE [1 ]
Love, ST [1 ]
Nowling, SR [1 ]
机构
[1] Purdue Univ, Dept Phys, W Lafayette, IN 47907 USA
关键词
supersymmetric quantum mechanics; superconformal quantum mechanics;
D O I
10.1142/S0217732302006187
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The (group and spin space) matrix Hamiltonian describing the dynamics of a non-relativistic spin-1/2 particle moving in a static, but spatially dependent, non-Abelian magnetic field in two spatial dimensions is shown to take the form of an anticommutator of a nilpotent operator and its Hermitian conjugate. Consequently, the (group space) matrix Hamiltonians for the two different spin projections form partners of a supersymmetric quantum mechanical system. The resulting supersymmetry algebra is exploited to explicitly construct the exact zero energy ground state wave function(s) for the System. The remaining eigenstates and eigenvalues of the two partner Hamiltonians form positive energy degenerate pairs.
引用
收藏
页码:95 / 101
页数:7
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