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Analysis of wave equations for spin-1 particles interacting with an electromagnetic field

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 classical and quantum formulae for the Hamiltonian agree. The validity of the Corben-Schwinger equations is confirmed. However, it is difficult to generalize these equations in order to take into account the quadrupole moment defined by a particle charge distribution. The known second-order wave equations are not quite satisfactory because they contain non-Hermitian terms. The Hermitian second-order wave equation is derived.

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Alexander J. Silenko. 2004-11-08. Analysis of wave equations for spin-1 particles interacting with an electromagnetic field. https://arxiv.org/abs/hep-th/0404074

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