We provide accurate expressions for the s-wave scattering length for a Gaussian potential
well in one, two, and three spatial dimensions. The Gaussian potential is widely used as a …

We present a systematic treatment of the bound state structure of a short‐range attractive
interatomic potential in one, two, and three dimensions as its range approaches zero. This …

We propose a smooth pseudopotential for the contact interaction acting between ultracold
atoms confined to two dimensions. The pseudopotential reproduces the scattering …

Exploring the impact of dimensionality on the quantum dynamics of interacting bosons in
traps including particle correlations is an interesting but challenging task. Due to the different …

The formation of extended electron states in one-dimensional nanostructures is of key
importance for the function of molecular electronic devices. Here, we study the effects of …

Non-Archimedean mathematics is an approach based on fields which contain infinitesimal
and infinite elements. Within this approach, we construct a space of a particular class of …

The goal of this work is to lay the groundwork to construct and characterize a quantum
device; which we refer to as a superfluid ring lattice; that could serve as a multi-qubit system …

We investigate the Zel'dovich effect in the context of ultracold, harmonically trapped quantum
gases. We suggest that currently available experimental techniques in cold-atom research …

La physique classique, mécanique Newtonienne (Ιsaac Newton 1642% 1727) et la théorie
de llélectromagnétisme de Maxwell (James Clark Maxwell 1831% 1879), qui décrivent …

In general, the understanding of microscopic physical processes in many-body systems
needs an investigation starting from first principles, especially taking the impact of …