Quasiperiodic fields and Bose-Einstein condensation

TL;DR

This paper develops a partition function for quasiperiodic fields at finite temperature, bridging bosonic and fermionic boundary conditions, and explores the potential for Bose-Einstein condensation in such systems.

Contribution

It introduces a novel partition function for quasiperiodic boundary conditions and analyzes their implications for Bose-Einstein condensation.

Findings

Partition function for quasiperiodic fields constructed.

Conditions for Bose-Einstein condensation discussed.

Interpolates between bosonic and fermionic boundary conditions.

Abstract

We construct a partition function for fields obeying a quasiperiodic boundary condition at finite temperature, $\psi(0;\vec x)= e^{i\theta} \psi(\beta;\vec x)$, which interpolate continously that ones corresponding to bosons and fermions and discuss the possibility of condensation for these fields.