Multichannel atomic spectra frequently exhibit such extraordinary visual complexity that they
appear at first glance to be uninterpretable. The present review discusses how to unravel …

B Supplementary mathematics Page 1 B Supplementary mathematics B.1 Linear operators on
Hilbert space General references [1], [2], [3], [4] B.1.1 Hilbert spaces This appendix summarizes …

Electron Momentum Spectroscopy measures the energy-momentum density of the electrons
in atoms, molecules and solids by means of a kinematically-complete ionization reaction …

We present the convergent close-coupling theory for the calculation of electron-helium
scattering. We demonstrate its applicability at a range of projectile energies of 1.5 to 500 eV …

Two methods to scale plane-wave Born cross sections for electron-impact excitations of
neutral atoms are shown to produce excitation cross sections comparable in accuracy to …

The atomic hydrogen target has played a pivotal role in the development of quantum
collision theory. The key complexities of computationally managing the countably infinite …

A computationally efficient analytic form of the Born-approximation electron-impact
ionization amplitude is derived for general neutral-atom targets. High-quality Hartree-Fock …

The question of convergence in two-center close-coupling expansions is addressed via the
study of positron-hydrogen scattering. It is found that the major cross sections do converge if …

Starting from first principles, this tutorial describes the development of the adiabatic-nuclei
convergent close-coupling (CCC) method and its application to electron and (single-centre) …

We present a method for calculation of differential ionization cross sections from theories
that use the close-coupling expansion for the total wave function. It is shown how, from a …