Wolfgang Konig

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2026

The free energy of the interacting Bose gas: a variational description with loops and interlacements

Wolfgang KÃ¶nig

We consider the interacting Bose gas in the thermodynamic limit in a large box in $R^{d}$ at positive temperature $1/ I^^{2} \in (0, \infty)$ with particle density $\sim I ¨ \in (0, \infty)$ . We…

math.PR2025

Off-diagonal long-range order for the free Bose gas via the Feynman--Kac formula

Wolfgang KÃ¶nig, Quirin Vogel, Alexander Zass

We consider the path-integral representation of the ideal Bose gas under various boundary conditions. We show that Bose--Einstein condensation occurs at the famous critical density…

math.PR2024

Proof of off-diagonal long-range order in a mean-field trapped Bose gas via the Feynman--Kac formula

Tianyi Bai, Wolfgang KÃ¶nig, Quirin Vogel

We consider the non-interacting Bose gas of $N$ bosons in dimension $d \geq 3$ in a trap in a mean-field setting with a vanishing factor $a_{N}$ in front of the kinetic energy. The ch…