English

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

Quantum Physics 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.0705.2599,
  title  = {Quantum propagator for some classes of three-dimensional three-body systems},
  author = {A. de Souza Dutra},
  journal= {arXiv preprint arXiv:0705.2599},
  year   = {2009}
}
R2 v1 2026-06-21T08:29:26.887Z