Mapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators
Quantum Physics
2007-05-23 v2 Condensed Matter
High Energy Physics - Theory
Abstract
The -type Calogero-Sutherland-Moser system in one-dimension is shown to be equivalent to a set of decoupled oscillators by a similarity transformation. This result is used to show the connection of the and type models and explain the degeneracy structure of the later. We identify the commuting constants of motion and the generators of a linear algebra associated with the system.
Keywords
Cite
@article{arxiv.quant-ph/9710019,
title = {Mapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators},
author = {N. Gurappa and Prasanta. K. Panigrahi},
journal= {arXiv preprint arXiv:quant-ph/9710019},
year = {2007}
}
Comments
8 pages, REVTeX, Completely revised, few new equations and references are added