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differential operators are introduced which can be thought of as spinor analogues of the Beltrami operators

and translational invariance. The physical meaning of the operators corresponding to classical field amplitudes

of the invariants generated from the bilinear spinor forms S = ψψ and P = iψγ5ψ; the scalar Lagrangian is chosen

for electromagnetic and spinor fields on the background of the Schwarzschild spacetime. Because the second invariant

We discuss various aspects of noncanonical interpretation of the problem of Lorentz invariance

Exact self-consistent plane-symmetric solutions of the spinor-field equation with a nonlinear term

Exact self-consistent plane-symmetric solutions of the spinor-field equation with zero mass

- mechanical problems, i.e. electromagnetic and spinor fields on the background of the Schwarzschild spacetime

Summary (translated from the Russian): "We obtain exact static solutions of spinor field equations

We investigate the effective 8-spinor field model suggested earlier as the generalization

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