Three-particle integrals with the Bessel functions
Mathematical Physics
2013-12-24 v7 math.MP
Atomic Physics
Abstract
Analytical formulas for some useful three-particles integrals are derived. Many of these integrals include Bessel and/or trigonometric functions of one and two interparticle (relative) coordinates and . The formulas obtained in such an analysis allow us to consider three-particle integrals of more complicated functions of relative/perimetric coordinates. In many actual problems such three-particle integrals can be found in matrix elements of the Hamiltonian and other operators.
Cite
@article{arxiv.1211.4536,
title = {Three-particle integrals with the Bessel functions},
author = {Alexei M. Frolov and David M. Wardlaw},
journal= {arXiv preprint arXiv:1211.4536},
year = {2013}
}