On the three-body Coulomb scattering problem

DOI10.1016/0003-4916(80)90344-9zbMath0483.35066OpenAlexW100639463MaRDI QIDQ1163166

S. P. Merkur'ev

Publication date: 1980

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(80)90344-9

zbMATH Keywords

Green's functionswavefunctionseikonal approximationresolvent kernelsCoulomb wavefunctionsCoulomb scattering operatorDollard wave operatorsthree pairwise interacting charged spinless particles

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Scattering theory for PDEs (35P25) Integral representations of solutions to PDEs (35C15) Diffraction, scattering (78A45)

Related Items (12)

Extended Hilbert space approach to few-body problems ⋮ Integral-differential equations approach to atomic three-body systems. ⋮ Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning ⋮ Unnamed Item ⋮ Surface-integral formulation of scattering theory ⋮ The three-body Coulomb scattering problem in a discrete Hilbert-space basis representation ⋮ Rigorous mathematical studies of the Schrödinger equation for helium ⋮ Asymptotic properties of generalized eigenfunctions for three body Schrödinger operators ⋮ Spurious solutions of Faddeev equations with central potentials ⋮ Faddeev differential equations as a spectral problem for a nonsymmetric operator ⋮ Eigenfunction asymptotics for systems of three charged particles ⋮ Faddeev equations for simple-layer potential density

Cites Work

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