# Wolfgang Spitzer: On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength

**Time: **
Tue 2019-04-23 14.00 - 15.00

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

**Participating: **
Wolfgang Spitzer, FernUniversität in Hagen

We study Bose-Einstein condensation in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but through a positive (repulsive) point potential with impurities which are randomly located along the real line according to the points of a Poisson process. Our emphasis is on the case in which the interaction strength is not infinite.

As a main result, we prove that in thermal equilibrium the one-particle ground state is macroscopically occupied, provided that the particle density is larger than a critical one depending on the temperature. This is joint work with Joachim Kerner and Maximilian Pechmann.