Coulomb two-body problem with internal structure

Hyperspherical Coulomb spheroidal representation in the Coulomb three-body problem

The new representation of the Coulomb three-body wave function via the well-known solutions of the separable Coulomb two-centre problem φj(ξ, η) = Xj(ξ)Yj(η) is obtained, where Xj(ξ) and Yj(η) are the Coulomb spheroidal functions. Its distinguishing characteristic is the coordination with the boundary conditions of the scattering problem below the three-particle breakup. That is, the wave funct...

Contemporary Status of the Three-Body Problem with Coulomb Interactions

Chaos in the Planar Two-Body Coulomb Problem with a Uniform Magnetic Field

The dynamics of the classical two-body Coulomb problem in a uniform magnetic field are explored numerically in order to determine when chaos can occur. The analysis is restricted to the configuration of planar particles with an orthogonal magnetic field, for which there is a four-dimensional phase space. Parameters of mass and charge are chosen to represent physically motivated systems. To chec...

Classical Coulomb three-body problem in collinear eZe configuration

Classical dynamics of two-electron atom and ions H−, He, Li, Be, ... in collinear eZe configuration is investigated. It is revealed that the mass ratio ξ between nucleus and electron plays an important role for dynamical behaviour of these systems. With the aid of analytical tool and numerical computation, it is shown that thanks to large mass ratio ξ, classical dynamics of these systems is ful...

formalism for the three - body Coulomb scattering problem ∗

We propose a three-potential formalism for the three-body Coulomb scattering problem. The corresponding integral equations are mathematically well-behaved and can succesfully be solved by the Coulomb-Sturmian separable expansion method. The results show perfect agreements with existing low-energy n − d and p − d scattering calculations.