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

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

2007-05-18

arxiv.org/abs/0705.2599v1

Annals of Physics, vol. 321, Issue 5, May 2006, Pages 1092-1102

Physics

Quantum Physics

16 pages, no figures

Scientific paper

10.1016/j.aop.2005.09.007

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.

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