Coherent States and Geometric Phases in Calogero-Sutherland Model

Details Coherent States and Geometric Phases in Calogero-Sutherland Model Coherent States and Geometric Phases in Calogero-Sutherland Model

2001-09-21

arxiv.org/abs/quant-ph/0109108v1

Int.J.Mod.Phys. A17 (2002) 259-268

Physics

Quantum Physics

To appear in the Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X0200561X

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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