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arXiv 2012-11-19 0 views

Three-particle integrals with the Bessel functions

Frolov, Alexei M. · Wardlaw, David M.

Original · EN

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 r₃₂, r₃₁ and r₂₁. 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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