Weigert, S. (2003) PT-symmetry and its spontaneous breakdown explained by anti-linearity. Journal of Optics B: Quantum and Semiclassical Optics. S416-S419. ISSN 1464-4266Full text available as:
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.|
|Keywords:||PT-symmetry, anti-linearity, anti-unitarity, invariances, representation theory|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||Repository Officer|
|Date Deposited:||22 Jun 2006|
|Last Modified:||17 Oct 2013 14:29|