Department of Mathematics2024-11-0920030022-248810.1063/1.15393042-s2.0-0037363149https://hdl.handle.net/20.500.14288/1470We study certain linear and antilinear symmetry generators and involution operators associated with pseudo-Hermitian Hamiltonians and show that the theory of pseudo-Hermitian operators provides a simple explanation for the recent results of Bender, Brody and Jones (quant-ph/0208076) on the CPT-symmetry of a class of PT-symmetric non-Hermitian Hamiltonians. We present a natural extension of these results to the class of diagonalizable pseudo-Hermitian Hamiltonians H with a discrete spectrum. In particular, we introduce generalized parity (P), time-reversal (T), and charge-conjugation (C) operators and establish the PT- and CPT-invariance of H.pdfMathematical physicsJournal Article1089-7658https://doi.org/10.1063/1.1539304181090300004Q3NOIR00570