DOI: https://doi.org/10.30970/jps.01.39
THE N = 4 SUPERSYMMETRY OF ELECTRON IN THE MAGNETIC FIELD
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Journal of Physical Studies 1(1), 39–41 (1996)
DOI: https://doi.org/10.30970/jps.01.39 THE N = 4 SUPERSYMMETRY OF ELECTRON IN THE MAGNETIC FIELD |
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V. M. Tkachuk, S. I. Vakarchuk
Ivan Franko Lviv State University, Chair of Theoretical Physics
12 Drahomanov Str., Lviv UA-290005, Ukraine
It is shown that the N=2,3,4 SUSY of Pauli Hamiltonian takes place in a three-dimensional magnetic field possessing spatial symmetry with respect to the inversion of coordinates. For example, the N=4 SUSY is realized in the field 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 field.