Abstract

Nonlinear spinor equations are derived in the paper by the nonlinear symmetry-group representation method. The basic field ψ transforms according to the linear spinor representation of the orthochronous Lorentz group Lt. The internal symmetry group Gr is realized as a group of nonlinear transformations of the field ψ. The invariant nonlinear spinor equations constituting the group Gr are found in terms of the covariant derivative. The group SU(2) is considered as an example.

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