Abstract
The projection method is a constructive proof of complete integrability of classical many-body systems. This method is extended to the quantum case. The wave functions and propagators of the $n$-particle Calogero systems are given in the form of integrals involving the wave functions and propagators of free motion in space of ${n}^{2}$ dimensions. Quantization of angular momentum in the large space yields solutions for discrete values of the coupling constant.
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