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

1997/10/04 by N. Gurappa, Prasanta K. Panigrahi, Gurappa, N. +2 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #cond-mat #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9710019

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

openalex publication_date 1997/10/04 · arxiv created 1997/12/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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_∞ algebra associated with the B_N system.

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