activity
20182025
most citedBose--Einstein condensation in the Luttinger--Sy model with contact interaction

8 citations · 23 across the 8 of their papers we have counts for

collaborators

8 papers

math.SP2025

On the asymptotic behavior of the spectral gap for discrete Schrödinger operators

Matthias Hofmann, Joachim Kerner, Maximilian Pechmann

In this note we elaborate on the asymptotic behavior of the spectral gap of a class of discrete Schrödinger operators defined on a path graph in the limit of infinite volume. We co…

math-ph2023

On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model

Chiara Boccato, Joachim Kerner, Maximilian Pechmann

We study interacting Bose gases of dimensions at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between t…

math-ph2021

Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in

Joachim Kerner, Maximilian Pechmann

We study Bose gases in dimensions, , with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. W…

math-ph2020

On Bose-Einstein condensation in one-dimensional noninteracting Bose gases in the presence of soft Poisson obstacles

Maximilian Pechmann

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on with single-site potentials that are nonnegative,…

math-ph2020★ 4 cited

On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model

Joachim Kerner, Maximilian Pechmann

In this paper we investigate the effect of repulsive pair interactions on Bose-Einstein condensation in a well-established random one-dimensional system known as the Luttinger-Sy m…

math-ph2019★ 6 cited

On a condition for type-I Bose-Einstein condensation in random potentials in dimensions

Joachim Kerner, Maximilian Pechmann, Wolfgang Spitzer

In this paper we discuss Bose-Einstein condensation (BEC) in systems of pairwise non-interacting bosons in random potentials in dimensions. Working in a rather general framewor…