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Verification of Relativistic Wave Equations for Spin-1 Particles

Alexander J. Silenko
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Abstract

The Foldy-Wouthuysen transformation for relativistic spin-1 particles interacting with nonuniform electric and uniform magnetic fields is performed. The Hamilton operator in the Foldy-Wouthuysen representation is determined. It agrees with the Lagrangian obtained by Pomeransky, Khriplovich, and Sen'kov. The validity of the Corben-Schwinger equations is confirmed. However, an attempt to generalize these equations in order to take into account the own quadrupole moment of particles was not successful. The known second-order wave equations are incorrect because they contain non-Hermitian terms. The correct second-order wave equation is derived.

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Alexander J. Silenko. 2004-01-24. Verification of Relativistic Wave Equations for Spin-1 Particles. https://arxiv.org/abs/hep-th/0401183

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