DOI: https://doi.org/10.30970/jps.03.291
BROKEN SUPERSYMMETRY FOR THE ELECTRON IN THE MAGNETIC FIELD OF STRAIGHT CURRENT
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Journal of Physical Studies 3(3), 291–294 (1999)
DOI: https://doi.org/10.30970/jps.03.291 BROKEN SUPERSYMMETRY FOR THE ELECTRON IN THE MAGNETIC FIELD OF STRAIGHT CURRENT |
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V. M. Tkachuk, S. I. Vakarchuk
The Ivan Franko National University of Lviv,
Chair of Theoretical Physics
12 Drahomanov Str., Lviv, UA-79005, Ukraine
The Pauli Hamiltonian for the electron moving in the magnetic field of straight current possesses $N=3$ supersymmetry (SUSY). We study the equation for the zero energy ground state of the electron moving in this field. It is shown that this equation does not have square integrable solutions and thus the SUSY is broken.