Journal of Physical Studies 12(4), Article 4004 [3 pages] (2008) DOI: https://doi.org/10.30970/jps.12.4004 SUPERSYMMETRY OF PAULI HAMILTONIAN AND ENTANGLEMENT V. M. Tkachuk, S. I. Vakarchuk Department for Theoretical Physics, Ivan Franko National University of Lviv, 12, Drahomanov St., Lviv, UA--79005, Ukraine; e-mail: tkachuk@ktf.franko.lviv.ua

We consider the motion of an electron in the plane perpendicular to the magnetic field which possesses supersymmetry with two supercharges. It is shown that stationary states as a consequence of supersymmetry can have entanglement between spin and coordinate variables of the electron. Squared concurrence for these states is equal to the sum of the squared mean value of supercharges divided by the energy of the electron. The eigenstates of the supercharges are maximally entangled.

PACS number(s): 03.65.-w, 03.65.Ud, 11.30.Pb

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