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In this work we solve exactly a class of three-body propagators for the mostgeneral quadratic interactions in the coordinates, for arbitrary masses andcouplings. This is done both for the constant as the time-dependent couplingsand masses, by using the Feynman path integral formalism. Finally the energyspectrum and the eigenfunctions are recovered from the propagators.

Quantum propagator for some classes of three-dimensional three-body systems