Calogero-Sutherland oscillator: classical behaviour and coherent states
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Two kinds of coherent states are constructed in the context of the Calogero-Sutherland singular oscillator. The motion of the peaks of the wavefunctions of these coherent states are compared with the classical trajectory. It is found that while the wavefunction for one kind of coherent states is always singly peaked, that for the other acquires multiple peaks close to the classical turning point near the origin. The two coherent states are found to exhibit a kind of complementarity.