RELATIVISTIC VECTOR BOSONS AND $PT$-SYMMETRY

摘要

Relativistic massive bosons with spin one are considered in several quantization schemes. In all of them the system is shown to be described by a non-Hermitian Hamiltonian $H eq H^dagger$ and the helicity operator $Lambda$. Constructively, we show that in all of the contemplated schemes both these operators $H$ and $Lambda$ prove simultaneously ${cal PT}$-symmetric, i.,e., pseudo-Hermitian with respect to a certain not too complicated indefinite pseudo-metric operator ${cal P}={cal P}^dagger$.