Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.4, pp.358-366

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.4, pp.358-366

On Supersymmetry for the Dirac Equation in the Problem of Pair Creation.
H. V. Grushevskaya and G. G. Krylov

Supersymmetry aspects for the Dirac equation in external electromagnetic fields are considered. The existence of the conservation law of supercharge has been demonstrated explicitly. Arguments on applications of the proposed model for understanding of the phenomenon of spin-dependent scattering in heterostructures has been developed.
Key words: Dirac particle, strong electromagnetic field, self-consistent problem, supersymmetry, pair creation, heterostructure

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