低温下通过强势相互作用的稀薄玻色气体的自由能

arXiv - MATH - Spectral Theory Pub Date : 2024-08-26 DOI:arxiv-2408.14222

S. Fournais, L. Junge, T. Girardot, L. Morin, M. Olivieri, A. Triay

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引用次数: 0

摘要

我们考虑了热力学极限下的稀薄玻色气体，证明了低温下的自由能下限，这与李-黄-杨关于系统激发光谱的猜想是一致的。结合（cite{FS2}）和（cite{HHNST}）技术，我们给出了一个更简单、更短的证明，解决了强相互作用的情况，包括硬核势。

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

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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arXiv - MATH - Spectral Theory

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