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The free energy of dilute Bose gases at low temperatures interacting via strong potentials

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arxiv 2408.14222 v1 pith:JLKDOGUJ submitted 2024-08-26 math-ph math.MPmath.SP

The free energy of dilute Bose gases at low temperatures interacting via strong potentials

classification math-ph math.MPmath.SP
keywords bosecitediluteenergyfreestrongtemperaturesagreement
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining techniques of \cite{FS2} and \cite{HHNST}, we give a simpler and shorter proof resolving the case of strong interactions, including the hard-core potential.

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Cited by 5 Pith papers

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