On the Real Spectra of Calogero Model with Complex Coupling
High Energy Physics - Theory
2009-11-10 v2 Condensed Matter
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We study the eigenvalue problem of the rational Calogero model with the coupling of the inverse-square interaction as a complex number. We show that although this model is manifestly non-invariant under the combined parity and time-reversal symmetry , the eigenstates corresponding to the zero value of the generalized angular momentum have real energies.
Keywords
Cite
@article{arxiv.hep-th/0310276,
title = {On the Real Spectra of Calogero Model with Complex Coupling},
author = {Pijush K. Ghosh and Kumar S. Gupta},
journal= {arXiv preprint arXiv:hep-th/0310276},
year = {2009}
}
Comments
revtex4 8 pages, 2 figures