Feshbach resonances are the essential tool to control the interaction between atoms in
ultracold quantum gases. They have found numerous experimental applications, opening up …

Magnetically tunable Feshbach resonances were employed to associate cold diatomic
molecules in a series of experiments involving both atomic Bose and two-spin-component …

Photoassociation is the process in which two colliding atoms absorb a photon to form an
excited molecule. The development of laser-cooling techniques for producing gases at …

The authors review progress in understanding the nature of atomic collisions occurring at
temperatures ranging from the millidegrees Kelvin to the nanodegrees Kelvin regime. The …

A general formalism is derived for analytically representing the scattering properties of
ultracold atoms subject to one or more resonant photoassociation lasers. The resulting …

A quantum-defect theory of atomic collisions and molecular vibration spectra is presented.
Based on the exact solutions of the Schrödinger equation for an attractive 1/r 6 potential, the …

Mathematical methods are presented that give pairs of linearly independent solutions for an
attractive 1/r 6 potential. These solutions represent a different class of special functions that …

The scattering matrices needed to describe cold collision processes are shown to have a
simple dependence on energy and magnetic field, controlled by single-channel dynamics in …

We extend the powerful formalism of multichannel quantum defect theory combined with a
frame transformation to ultracold atom-molecule collisions in magnetic fields. By solving the …

We develop an analytical model for ultracold atom–ion collisions using the multichannel
quantum-defect formalism. The model is based on analytical solutions of the r− 4 long-range …