This paper shows that one type of first order Dirac equation with vector coupling and scalar coupling potentials can be brought into the framework of non relativistic supersymmetric quantum mechanics. The conclusion...This paper shows that one type of first order Dirac equation with vector coupling and scalar coupling potentials can be brought into the framework of non relativistic supersymmetric quantum mechanics. The conclusion is independent of the concrete forms of the vector and scalar coupling potentials because of the nilpotent matrix realization of supersymmetric quantum mechanical algebra. The supersymmetry of this kind of Dirac equation requires that a spin orbit coupling term be introduced into the associated supersymmetric Hamiltonian.展开更多
基金Tsinghua Basic Science Foundation!( 98JC0 79) partially by the National NaturalScience Foundation of China!( No.1990 5 0
文摘This paper shows that one type of first order Dirac equation with vector coupling and scalar coupling potentials can be brought into the framework of non relativistic supersymmetric quantum mechanics. The conclusion is independent of the concrete forms of the vector and scalar coupling potentials because of the nilpotent matrix realization of supersymmetric quantum mechanical algebra. The supersymmetry of this kind of Dirac equation requires that a spin orbit coupling term be introduced into the associated supersymmetric Hamiltonian.
