2003/10/31 by A Blasi, A. Blasi, G Scolarici +3 · 2 citations
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #quant-ph
paper · pdf · doi:10.1088/0305-4470/37/15/003
20 pages
arxiv created 2004/02/27 · openalex publication_date 2004/03/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We extend the definition of generalized parity P , charge-conjugation C and time-reversal T operators to nondiagonalizable pseudo-Hermitian Hamiltonians, and use these generalized operators to describe the full set of symmetries of a pseudo-Hermitian Hamiltonian according to a fourfold classification. In particular, we show that T P and CT P are the generators of the P -antiunitary symmetries; moreover, a necessary and sufficient condition is provided for a pseudo-Hermitian Hamiltonian H to admit a P -reflecting symmetry which generates the P -pseudounitary and the P -pseudoantiunitary symmetries. Finally, a physical example is considered and some hints on the P -unitary evolution of a physical system are also given.