关于碎裂凝聚的几个严格问题
On some rigorous aspects of fragmented condensation
摘要：
在本文中，我们讨论了一些方面的碎裂凝聚从数学的角度来看。我们首先提出了一个简单的方法来表征有限碎裂。然后，灵感来自最近的结果半经典分析应用到玻色子系统的无限多个自由度，我们解决的问题，持续的碎片凝聚。我们表明，后者发生在相互作用系统中，在平均场制度，并在大的差距的限制的单体哈密顿量。
英文摘要：
In this paper we discuss some aspects of fragmented condensation from a mathematical perspective. We first propose a simple way of characterizing finite fragmentation. Then, inspired by recent results of semiclassical analysis applied to bosonic systems with infinitely many degrees of freedom, we address the problem of persistence of fragmented condensation. We show that the latter occurs in interacting systems, in the mean-field regime, and in the limit of large gap of the one-body Hamiltonian.
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