The author presents a tutorial review of some ideas that are basic to our current
understanding of the phenomenon of Bose-Einstein condensation (BEC) in the dilute atomic …

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

A dilute homogeneous two-dimensional (2D) Bose gas at zero temperature is studied with
the method developed earlier by the authors. This method allows for considering …

The confinement-induced resonances for trapped bosons in the cigar-shaped and pancake
geometries are studied within the generalized Gross-Pitaevskii equations, which are a …

In this paper we formulate the time-dependent many-body theory of photoassociation in an
atomic Bose-Einstein condensate with realistic interatomic interactions, using and …

We revisit the mean-field treatment of photoassociation and Feshbach resonances in a Bose-
Einstein condensate previously used by various authors. Generalizing the Cherny and …

We propose and experimentally investigate a scheme for observing Feshbach resonances
in atomic quantum gases in situ and with a high temporal resolution of several tens of …

When calculating the ground-state energy of a weakly interacting Bose gas with the help of
the customary contact pseudopotential, one meets an artifical ultraviolet divergence which is …

I formulate a'pseudo-paradox'in the theory of a dilute Bose gas with repulsive interactions:
the standard expression for the ground state energy within the Gross–Pitaevskii (GP) …

The kinetic and interaction energies of a three-dimensional (3D) dilute ground-state Bose
gas confined in a trap are calculated beyond a mean-field treatment. They are found to …