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Title: Complex extension of quantum mechanics
Authors: Brody, DC
Bender, CM
Jones, HF
Keywords: Quantum mechanics;Space-time reflection symmetry
Issue Date: 2002
Publisher: American Physical Society
Citation: Physical Review Letters, 89(27): 270401, (December 2002)
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.
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)
ISSN: 1079-7114
Appears in Collections:Dept of Mathematics Research Papers

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