Multicomponent Calogero Model of $B_N$-Type Confined in Harmonic Potential
Takashi Yamamoto
TL;DR
This paper introduces a new multicomponent Calogero model of B_N-type with harmonic confinement, deriving its Lax pair, conserved operators, and energy spectrum through three methods.
Contribution
It presents the first formulation of a multicomponent B_N-type Calogero model with harmonic potential, including its integrability structure and spectral analysis.
Findings
Lax pair of the model is explicitly constructed
A set of conserved operators is established
Energy spectrum is obtained via three different methods
Abstract
A new one-dimensional model, the multicomponent Calogero model of -type confined in the harmonic potential, is introduced. The Lax pair of this model is determined, and then a set of functionally independent conserved operators are constructed. Moreover, the energy spectrums of the above model are obtained by three different methods.
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