Since the first attempts to calculate the helium ground state in the early days of Bohr-
Sommerfeld quantization, two-electron atoms have posed a series of unexpected …

This book discusses in detail all the relevant numerical methods for the classical N-body
problem. It demonstrates how to develop clear and elegant algorithms for models of …

We discuss the integration of autonomous Hamiltonian systems via dynamical rescaling of
the vector field (reparameterization of time). Appropriate rescalings (eg, based on …

The three-body problem is common in astronomy, examples of which are the solar system,
exoplanets, and stellar systems. Due to its chaotic characteristic, discovered by Poincaré …

State selective nl-electron capture cross sections are presented for highly charged ions with
Z= 6–10 colliding with atoms and molecules. The energy range investigated was from 1 …

Chaos implies unpredictability, fluctuations, and the need for statistical modelling. Quantum
optics has developed into one of the most advanced subdisciplines of modern physics in …

Coherent short-pulse laser excitation has been used to control the approximate energy and
relative proximity of two valence electrons within the same alkaline-earth atom, thereby …

We study a heavy-heavy-light three-body system confined to one space dimension. Both
binding energies and corresponding wave functions are obtained for (i) the zero-range and …

We test numerically the recently proposed linear relationship between the scale-invariant
period, and the topology of an orbit, on several hundred planar Newtonian periodic three …

We study the effect of edge diffraction on the semiclassical analysis of two-dimensional
quantum systems by deriving a trace formula which incorporates paths hitting any number of …