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- Title
Extremely broken generalized PT symmetry.
- Authors
Fernández, Francisco M.
- Abstract
We discuss some simple Hückel-like matrix representations of non-Hermitian operators with antiunitary symmetries that include generalized P T (parity transformation followed by time-reversal) symmetry. One of them exhibits extremely broken antiunitary symmetry (complex eigenvalues for all nontrivial values of the model parameter) because of the degeneracy of the operator in the Hermitian limit. These examples illustrate the effect of point-group symmetry on the spectrum of the non-Hermitian operators. We construct the necessary unitary matrices by means of simple graphical representations of the non-Hermitian operators.
- Subjects
HERMITIAN operators; SYMMETRY; HERMITIAN forms; UNITARY operators; EIGENVALUES; GROUP theory
- Publication
Journal of Mathematical Chemistry, 2023, Vol 61, Issue 9, p1879
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-023-01496-2