Il Nuovo Cimento B

PT and CPT symmetries for non-Hermitian operators

A. D. Jannussis, G. N. Brodimas, H. N. Ioannidou, A. Leodaris, V. Papatheou

Published Mar 1, 2005• 1 citation

Abstract

In the present paper we enlarge the Max Planck law E = h(Ω 1 + Ω 2 ) for non-Hermitian operators and have examined the behavior of PT and CPT symmetries. For a quantum theory based on a non-Hermitian Hamiltonian, the spectrum in the general case is complex, and the time-evolution is non-unitary. We study also the case of non-commutative and non-Hermitian deformed harmonic oscillator and the behaviour of CPT symmetry. For further research, there appears the main problem of the connection between noncommutative geometry for non-Hermitian operators just as the conservation or not of PT and CPT symmetries.

DOI: 10.1393/ncb/i2005-10017-4

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