The N = 4 supersymmetry of electron in the magnetic field

V. M. Tkachuk, S. I. Vakarchuk
1996 Journal of Physical Studies  
It is shown that the N=2,3,4 SUSY of Pauli Hamiltonian takes place in a three-dimensional magnetic eld possessing spatial symmetry with respect to the inversion of coordinates. For example, the N=4 SUSY is realized in the eld of magnetic octopole and the non-zero energy levels are 4-fold degenerated. We also show that Dirac equation possesses the N=2,3,4 SUSY in a three{dimensional magnetic eld.
doi:10.30970/jps.01.39 fatcat:fq4ie7pynzhr3cwka65t4lb7pi