Mapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators

N. Gurappa; Prasanta. K. Panigrahi

Mapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators

量子物理 2007-05-23 v2 凝聚态物理高能物理 - 理论

作者: N. Gurappa , Prasanta. K. Panigrahi

摘要

The $B_N$ -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 $A_N$ and $B_N$ type models and explain the degeneracy structure of the later. We identify the commuting constants of motion and the generators of a linear $W_\infty$ algebra associated with the $B_N$ system.

引用

@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}
}

备注

8 pages, REVTeX, Completely revised, few new equations and references are added

Mapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators

摘要

引用

备注

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