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
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.
|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.|
|Institution:||The University of York|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||Repository Officer|
|Date Deposited:||22 Jun 2006|
|Last Modified:||02 Jan 2017 09:50|