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math-ph2020★ 7 cited
Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
Andreas Deuchert, Robert Seiringer
We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well appr…
math-ph2020★ 8 cited
The free energy of the two-dimensional dilute Bose gas. II. Upper bound
Simon Mayer, Robert Seiringer
We prove an upper bound on the free energy of a two-dimensional homogeneous Bose gas in the thermodynamic limit. We show that for and the free energy per…