P,T,PT, and CPT invariance of Hermitian Hamiltonians
Quantum Physics
2009-11-10 v2
Abstract
Currently, it has been claimed that certain Hermitian Hamiltonians have parity (P) and they are PT-invariant. We propose generalized definitions of time-reversal operator (T) and orthonormality such that all Hermitian Hamiltonians are P, T, PT, and CPT invariant. The PT-norm and CPT-norm are indefinite and definite respectively. The energy-eigenstates are either E-type (e.g., even) or O-type (e.g., odd). C mimics the charge-conjugation symmetry which is recently found to exist for a non-Hermitian Hamiltonian. For a Hermitian Hamiltonian it coincides with P.
Cite
@article{arxiv.quant-ph/0302084,
title = {P,T,PT, and CPT invariance of Hermitian Hamiltonians},
author = {Zafar Ahmed},
journal= {arXiv preprint arXiv:quant-ph/0302084},
year = {2009}
}
Comments
8 pages, no figures, text modified, to appear in Phys. Lett. A