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Exact coherent states in the Calogero-Sutherland models (of time-dependentparameters) which describe identical harmonic oscillators interacting throughinverse-square potentials are constructed, in terms of the classical solutionsof a harmonic oscillator. For quasi-periodic coherent states of thetime-periodic systems, geometric phases are evaluated. For the $A_{N-1}$Calogero-Sutherland model, the phase is calculated for a general coherentstate. The phases for other models are also considered.Comment: To appear in the Int. J. Mod. Phys.

COHERENT STATES AND GEOMETRIC PHASES IN THE CALOGERO–SUTHERLAND MODEL