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Coherent States and Geometric Phases in Calogero-Sutherland Model

Dae-Yup Song·JeongHyeong Park
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Abstract

Exact coherent states in the Calogero-Sutherland models (of time-dependent parameters) which describe identical harmonic oscillators interacting through inverse-square potentials are constructed, in terms of the classical solutions of a harmonic oscillator. For quasi-periodic coherent states of the time-periodic systems, geometric phases are evaluated. For the $A_{N-1}$ Calogero-Sutherland model, the phase is calculated for a general coherent state. The phases for other models are also considered.

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Dae-Yup Song, JeongHyeong Park. 2001-09-21. Coherent States and Geometric Phases in Calogero-Sutherland Model. https://doi.org/10.1142/s0217751x0200561x

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