Supersymmetric Quantum Mechanics and SUSY Dependent SU(2) Symmetry for a Spin-1/2 Charged Particle in a Magnetic Field  

作　　者：JIA Wen-Zhi WANG Shun-Jin 

机构地区：[1]Center of Theoretical Physics, Department of Physics, Sichuan University, Chengdu 610064, China [2]Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

出　　处：《Communications in Theoretical Physics》2008年第8期335-340,共6页理论物理通讯（英文版）

基　　金：supported by National Natural Science Foundation of China under Grant Nos.10375039 and 90503008;the Doctoral Fund of Ministry of Education of China;partly by the Center of Theoretical Nuclear Physics of HIRFL of China

摘　　要：We find that in a supersymmetric quantum mechanics （SUSY QM） system, in addition to supersymmetric algebra, an associated SU（2） algebra can be obtained by using semiunitary （SUT） operator and projection operator, and the relevant constants of motion can be constructed. Two typical quantum systems are investigated as examples to demonstrate the above finding. The first example is the quantum system of a nonrelativistic charged particle moving in x-y plane and coupled to a magnetic field along z-axis. The second example is provided with the Dirac particle in a magnetic field. Similarly there exists an SUτ（2） SUσ（2） symmetry in the context of the relativistic Pauli Hamilt onian squared. We show that there exists also an SU（2） symmetry associated with the supersvmmetrv of the Dirac particle.

关 键 词：supersymmetric quantum mechanics Dirac equation semi-unitary transformation 

分 类 号：O413[理学—理论物理]