Singular states of relativistic fermions in the field of a circularly polarized electromagnetic wave and constant magnetic field

Details Singular states of relativistic fermions in the field of a circularly polarized electromagnetic wave and constant magnetic field Singular states of relativistic fermions in the field of a circularly polarized electromagnetic wave and constant magnetic field

2012-03-09

arxiv.org/abs/1203.2600v2

Physics

General Physics

Scientific paper

Dirac's equation in the field of a circularly polarized electromagnetic wave and constant magnetic field has exact localized non-stationary solutions. The solutions corresponds relativistic fermions only. Among them singular solutions with energy eigenvalues close to each other are found. The solutions are most practicable and can be separated by means of the phase matching between the momentum of the electromagnetic wave and spinor. Characteristic parameters of the singular states are defined.

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