Quantum propagator for some classes of three-dimensional three-body systems
arXiv:0705.2599 · doi:10.1016/j.aop.2005.09.007
Abstract
In this work we solve exactly a class of three-body propagators for the most general quadratic interactions in the coordinates, for arbitrary masses and couplings. This is done both for the constant as the time-dependent couplings and masses, by using the Feynman path integral formalism. Finally the energy spectrum and the eigenfunctions are recovered from the propagators.
16 pages, no figures