dorsal/arxiv
View SchemaP,T,PT, and CPT invariance of Hermitian Hamiltonians
| Authors | Zafar Ahmed |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302084 |
| URL | https://arxiv.org/abs/quant-ph/0302084 |
| DOI | 10.1016/S0375-9601(03)00339-6 |
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.
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"abstract": "Currently, it has been claimed that certain Hermitian Hamiltonians have\nparity (P) and they are PT-invariant. We propose generalized definitions of\ntime-reversal operator (T) and orthonormality such that all Hermitian\nHamiltonians are P, T, PT, and CPT invariant. The PT-norm and CPT-norm are\nindefinite and definite respectively. The energy-eigenstates are either E-type\n(e.g., even) or O-type (e.g., odd). C mimics the charge-conjugation symmetry\nwhich is recently found to exist for a non-Hermitian Hamiltonian. For a\nHermitian Hamiltonian it coincides with P.",
"arxiv_id": "quant-ph/0302084",
"authors": [
"Zafar Ahmed"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(03)00339-6",
"title": "P,T,PT, and CPT invariance of Hermitian Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0302084"
},
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