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PT-symmetric deformations of Calogero models

Fring, A. and Znojil, M. (2008). PT-symmetric deformations of Calogero models. Journal of Physics A: Mathematical and General, 41(19), doi: 10.1088/1751-8113/41/19/194010

Abstract

We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A2 and G2-Coxeter group and apply these constructions to Calogero–Moser–Sutherland models invariant under the extended Coxeter groups. The eigenspectra for the deformed models are real and contain the spectra of the undeformed case as subsystems.

Publication Type: Article
Publisher Keywords: NON-HERMITIAN HAMILTONIANS, ONE DIMENSION, OPERATORS, SYSTEMS, POTENTIALS
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/776
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