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math-ph2018★ 5 cited
On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength
Joachim Kerner, Maximilian Pechmann, Wolfgang Spitzer
We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (r…
math-ph2018★ 8 cited
Bose--Einstein condensation in the Luttinger--Sy model with contact interaction
Joachim Kerner, Maximilian Pechmann, Wolfgang Spitzer
We study bosons on the real line in a Poisson random potential (Luttinger--Sy model) with contact interaction in the thermodynamic limit at absolute zero temperature. We prove that…