Imperfect Bose Gas with Attractive Boundary Conditions

TL;DR

This paper investigates the imperfect Bose gas with attractive boundary conditions, demonstrating the occurrence of Bose-Einstein Condensation in a one-dimensional model where it was previously only studied in ideal cases.

Contribution

It provides the first rigorous proof of Bose-Einstein Condensation in an imperfect Bose gas with attractive boundary conditions in one dimension.

Findings

Proves Bose-Einstein Condensation occurs in this model

Extends understanding of BEC to imperfect gases with boundary effects

Provides rigorous mathematical results for the model

Abstract

The free Bose gas with attractive boundary conditions is an interesting toy model for the study of Bose-Einstein Condensation (BEC), because one has BEC already in one dimension. Here we study for the first time the imperfect Bose gas with these boundary conditions and prove rigorously the occurence of condensation.