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DC Field | Value | Language |
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dc.contributor.author | Brody, DC | - |
dc.contributor.author | Bender, CM | - |
dc.contributor.author | Jones, HF | - |
dc.date.accessioned | 2015-06-03T09:00:25Z | - |
dc.date.available | 2015-06-03T09:00:25Z | - |
dc.date.issued | 2002 | - |
dc.identifier.citation | Physical Review Letters, 89(27): 270401, (December 2002) | en_US |
dc.identifier.issn | 1079-7114 | - |
dc.identifier.uri | http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.89.270401 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/10949 | - |
dc.description | Erratum: Complex Extension of Quantum Mechanics [Phys. Rev. Lett. 89, 270401 (2002)] Carl M. Bender, Dorje C. Brody, and Hugh F. Jones Phys. Rev. Lett. 92, 119902 (2004) http://dx.doi.org/10.1103/PhysRevLett.92.119902 | en_US |
dc.description.abstract | Requiring that a Hamiltonian be Hermitian is overly restrictive. A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but satisfies the less restrictive and more physical condition of space-time reflection symmetry (PT symmetry). One might expect a non-Hermitian Hamiltonian to lead to a violation of unitarity. However, if PT symmetry is not spontaneously broken, it is possible to construct a previously unnoticed symmetry C of the Hamiltonian. Using C , an inner product whose associated norm is positive definite can be constructed. The procedure is general and works for any PT -symmetric Hamiltonian. Observables exhibit CPT symmetry, and the dynamics is governed by unitary time evolution. This work is not in conflict with conventional quantum mechanics but is rather a complex generalization of it. | en_US |
dc.language.iso | en | en_US |
dc.publisher | American Physical Society | en_US |
dc.subject | Quantum mechanics | en_US |
dc.subject | Space-time reflection symmetry | en_US |
dc.title | Complex extension of quantum mechanics | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevLett.89.270401 | - |
dc.relation.isPartOf | Physical Review Letters | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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Fulltext.pdf | 86.22 kB | Adobe PDF | View/Open |
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