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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…
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
Andreas Deuchert, Simon Mayer, Robert Seiringer
We prove a lower bound for the free energy (per unit volume) of the two-dimensional Bose gas in the thermodynamic limit. We show that the free energy at density and inverse tem…
Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature
Andreas Deuchert, Robert Seiringer
We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross-Pitaevskii (GP) limit, where the scattering length is so small that…
Bose-Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature
Andreas Deuchert, Robert Seiringer, Jakob Yngvason
We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaev…