Exact PT-Symmetry Is Equivalent to Hermiticity

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dc.creatorMostafazadeh, Ali
dc.date2003-04-11
dc.date2003-06-23
dc.date.accessioned2026-07-07T10:51:05Z
dc.date.available2026-07-07T10:51:05Z
dc.descriptionWe show that a quantum system possessing an exact antilinear symmetry, in particular PT-symmetry, is equivalent to a quantum system having a Hermitian Hamiltonian. We construct the unitary operator relating an arbitrary non-Hermitian Hamiltonian with exact PT-symmetry to a Hermitian Hamiltonian. We apply our general results to PT-symmetry in finite-dimensions and give the explicit form of the above-mentioned unitary operator and Hermitian Hamiltonian in two dimensions. Our findings lead to the conjecture that non-Hermitian CPT-symmetric field theories are equivalent to certain nonlocal Hermitian field theories.
dc.descriptionFew typos have been corrected and a reference updated
dc.identifierhttps://arxiv.org/abs/quant-ph/0304080
dc.identifierhttp://arxiv.org/abs/quant-ph/0304080
dc.identifierJ.Phys.A36:7081-7092,2003
dc.identifierdoi:10.1088/0305-4470/36/25/312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184745
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleExact PT-Symmetry Is Equivalent to Hermiticity
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