Weigert, S. orcid.org/0000-0002-6647-3252 (2003) PT-symmetry and its spontaneous breakdown explained by anti-linearity. Journal of Optics B: Quantum and Semiclassical Optics. S416-S419. ISSN 1464-4266
Abstract
The impact of an anti-unitary symmetry on the spectrum of non-Hermitian operators is studied. Wigner's normal form of an anti-unitary operator accounts for the spectral properties of non-Hermitian, PE-symmetric Harniltonians. The occurrence of either single real or complex conjugate pairs of eigenvalues follows from this theory. The corresponding energy eigenstates span either one- or two-dimensional irreducible representations of the symmetry PE. In this framework, the concept of a spontaneously broken PE-symmetry is not needed.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2003 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Optics B: Quantum and Semiclassical Optics. |
Keywords: | PT-symmetry, anti-linearity, anti-unitarity, invariances, representation theory |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Repository Officer |
Date Deposited: | 22 Jun 2006 |
Last Modified: | 06 Dec 2023 10:44 |
Published Version: | https://doi.org/10.1088/1464-4266/5/3/380 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1088/1464-4266/5/3/380 |
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