Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry

Emanuela Caliceti, Francesco Cannata, Miloslav Znojil, Alberto Ventura

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Abstract

Within CPT-symmetric quantum mechanics the most elementary differential form of the "charge operator" C is assumed. A closed-form integrability of the related coupled differential self-consistency conditions and a natural embedding of the Hamiltonians in a supersymmetric scheme is achieved. For a particular choice of the interactions the rigorous mathematical consistency of the construction is scrutinized suggesting that quantum systems with non-self-adjoint Hamiltonians may admit probabilistic interpretation even in presence of a manifest breakdown of both T symmetry (i.e., Hermiticity) and PT symmetry. © 2004 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)26 - 30
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume335
Issue number1
DOIs
Publication statusPublished - 31 Jan 2005
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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