Journal of Physical Studies 11(1), 45–54 (2007) DOI: https://doi.org/10.30970/jps.11.045 RELATIVISTIC VECTOR BOSONS AND PT-SYMMETRY J. Smejkal{1}, V. Jakubský{2}, M. Znojil{2} {1}Ústav technické a experimentalní fyziky ČVUT, Horská, 3a/22, 128 000, Praha 2 – Nové Město, Czech Republic {2}Ústav jaderné fyziky AV ČR, 250 68 Řež, Czech Republic

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 $H \neq H^\dagger$ and the helicity operator $Λ$. Constructively, we show that in all of the contemplated schemes both these operators $H$ and $Λ$ prove simultaneously ${\cal PT}$-symmetric, i. e., pseudo-Hermitian with respect to a certain not too complicated indefinite pseudo-metric operator ${\cal P}={\cal P}^\dagger$.

PACS number(s): 03.50.Kk, 03.65.Ca, 03.65.Pm

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