dorsal/arxiv
View SchemaMapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators
| Authors | N. Gurappa, Prasanta. K. Panigrahi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9710019 |
| URL | https://arxiv.org/abs/quant-ph/9710019 |
Abstract
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.
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"abstract": "The $B_N$-type Calogero-Sutherland-Moser system in one-dimension is shown to\nbe equivalent to a set of decoupled oscillators by a similarity transformation.\nThis result is used to show the connection of the $A_N$ and $B_N$ type models\nand explain the degeneracy structure of the later. We identify the commuting\nconstants of motion and the generators of a linear $W_\\infty$ algebra\nassociated with the $B_N$ system.",
"arxiv_id": "quant-ph/9710019",
"authors": [
"N. Gurappa",
"Prasanta. K. Panigrahi"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th"
],
"title": "Mapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators",
"url": "https://arxiv.org/abs/quant-ph/9710019"
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