dorsal/arxiv
View SchemaIs Weak Pseudo-Hermiticity Weaker than Pseudo-Hermiticity?
| Authors | Ali Mostafazadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605110 |
| URL | https://arxiv.org/abs/quant-ph/0605110 |
| DOI | 10.1063/1.2338144 |
| Journal | J. Math. Phys. 47, 092101 (2006) |
Abstract
For a weakly pseudo-Hermitian linear operator, we give a spectral condition that ensures its pseudo-Hermiticity. This condition is always satisfied whenever the operator acts in a finite-dimensional Hilbert space. Hence weak pseudo-Hermiticity and pseudo-Hermiticity are equivalent in finite-dimensions. This equivalence extends to a much larger class of operators. Quantum systems whose Hamiltonian is selected from among these operators correspond to pseudo-Hermitian quantum systems possessing certain symmetries.
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"abstract": "For a weakly pseudo-Hermitian linear operator, we give a spectral condition\nthat ensures its pseudo-Hermiticity. This condition is always satisfied\nwhenever the operator acts in a finite-dimensional Hilbert space. Hence weak\npseudo-Hermiticity and pseudo-Hermiticity are equivalent in finite-dimensions.\nThis equivalence extends to a much larger class of operators. Quantum systems\nwhose Hamiltonian is selected from among these operators correspond to\npseudo-Hermitian quantum systems possessing certain symmetries.",
"arxiv_id": "quant-ph/0605110",
"authors": [
"Ali Mostafazadeh"
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"quant-ph"
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"doi": "10.1063/1.2338144",
"journal_ref": "J. Math. Phys. 47, 092101 (2006)",
"title": "Is Weak Pseudo-Hermiticity Weaker than Pseudo-Hermiticity?",
"url": "https://arxiv.org/abs/quant-ph/0605110"
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