dorsal/arxiv
View SchemaPT-Symmetric Quantum Mechanics: A Precise and Consistent Formulation
| Authors | Ali Mostafazadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407213 |
| URL | https://arxiv.org/abs/quant-ph/0407213 |
| DOI | 10.1023/B:CJOP.0000044014.54626.c8 |
| Journal | Czech J. Phys. 54 (2004) 1125-1133 |
Abstract
The physical condition that the expectation values of physical observables are real quantities is used to give a precise formulation of PT-symmetric quantum mechanics. A mathematically rigorous proof is given to establish the physical equivalence of PT-symmetric and conventional quantum mechanics. The results reported in this paper apply to arbitrary PT-symmetric Hamiltonians with a real and discrete spectrum. They hold regardless of whether the boundary conditions defining the spectrum of the Hamiltonian are given on the real line or a complex contour.
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"abstract": "The physical condition that the expectation values of physical observables\nare real quantities is used to give a precise formulation of PT-symmetric\nquantum mechanics. A mathematically rigorous proof is given to establish the\nphysical equivalence of PT-symmetric and conventional quantum mechanics. The\nresults reported in this paper apply to arbitrary PT-symmetric Hamiltonians\nwith a real and discrete spectrum. They hold regardless of whether the boundary\nconditions defining the spectrum of the Hamiltonian are given on the real line\nor a complex contour.",
"arxiv_id": "quant-ph/0407213",
"authors": [
"Ali Mostafazadeh"
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"doi": "10.1023/B:CJOP.0000044014.54626.c8",
"journal_ref": "Czech J. Phys. 54 (2004) 1125-1133",
"title": "PT-Symmetric Quantum Mechanics: A Precise and Consistent Formulation",
"url": "https://arxiv.org/abs/quant-ph/0407213"
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