City Research Online

PT-symmetric deformations of Calogero models

Fring, A. & Znojil, M. (2008). PT-symmetric deformations of Calogero models. Journal of Physics A: Mathematical and General, 41(19), article number 194010. 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 Science & Technology > Mathematics
SWORD Depositor:
[thumbnail of 0802.0624v2.pdf]
Preview
PDF
Download (241kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login