论文标题
来自局部凝结结果的稀体气的能量扩展：对已知结果的综述
Energy expansions for dilute Bose gases from local condensation results: a review of known results
论文作者
论文摘要
在零温度下的非相互作用相互作用的玻色子在两个和三个维度中有望表现出一个引人入胜的临界相，被称为冷凝水相。即使热力学极限中玻色的凝结的证明仍然超出了当前可用方法的范围，但在过去的几十年中，数学物理学群落已经增强了对零温度下稀释器气体的巨型bose气体宏观行为的其他方面的理解。在这些注释中，我们通过重点关注大型（但有限的）盒子上的Bose-Einstein凝结发生之间的严格关系，以及对稀释液体气体的基态能量的渐近扩展。
Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even though a proof of Bose-Einstein condensation in the thermodynamic limit is still beyond reach of the current available methods, in the past decades the mathematical physics community has gained an enhanced comprehension of other aspects of the macroscopic behavior of dilute Bose gases at zero temperature. In these notes we review part of these advances, by focusing on the strict relation among the occurrence of Bose-Einstein condensation on large -- but finite -- boxes, and the asymptotic expansion to the ground state energy of dilute Bose gases.
