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arXiv · 1211.4536

Three-particle integrals with the Bessel functions

Alexei M. Frolov·David M. Wardlaw
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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 $r_{32}, r_{31}$ and $r_{21}$. 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.

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Alexei M. Frolov, David M. Wardlaw. 2013-10-08. Three-particle integrals with the Bessel functions. https://arxiv.org/abs/1211.4536

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