Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model
solv-int
2009-10-31 v2 Condensed Matter
Exactly Solvable and Integrable Systems
Abstract
We algebraically construct the Fock space of the Sutherland model in terms of the eigenstates of the pseudomomenta as basis vectors. For this purpose, we derive the raising and lowering operators which increase and decrease eigenvalues of pseudomomenta. The operators exchanging eigenvalues of two pseudomomenta have been known. All the eigenstates are systematically produced by starting from the ground state and multiplying these operators to it.
Cite
@article{arxiv.solv-int/9802001,
title = {Braid Structure and Raising-Lowering Operator Formalism in Sutherland Model},
author = {Akira Takamura and Ken'ichi Takano},
journal= {arXiv preprint arXiv:solv-int/9802001},
year = {2009}
}
Comments
11 pages, Latex, no figures