Casimir盒中长圈存在性的标度方法
Scaling approach to existence of long cycles in Casimir boxes
摘要：
我们分析了广义玻色-爱因斯坦凝聚（g-BEC）的概念，自1982年以来，在卡西米尔（或各向异性）盒的完美玻色气体（PBG）。我们的目的是建立这种现象和两个概念之间的关系：长周期的概念和非对角长程序（ODLRO），这通常被认为是一些适当的方式来描述的标准BEC的基态的立方盒。首先，我们表明，这三个标准是等价的，在后一种情况下。然后，基于标度方法，我们修正了这些概念的公式，证明了将g-BEC分为I、II、III三种类型，意味着一个长循环的层次（取决于它们的大小标度）以及一个依赖于凝聚体相干长度的ODLRO的层次。
英文摘要：
We analyse the concept of generalized Bose-Einstein condensation (g-BEC), known since 1982 for the perfect Bose gas (PBG) in the Casimir (or anisotropic) boxes. Our aim is to establish a relation between this phenomenon and two concepts: the concept of long cycles and the Off-Diagonal-Long-Range-Order (ODLRO), which are usually considered as some adequate way to describe the standard BEC on the ground state for the cubic boxes. First we show that these three criterions are equivalent in this latter case. Then, basing on a scaling approach, we revise formu- lation of these concepts to prove that the classification of the g-BEC into three types I,II,III, implies a hierarchy of long cycles (depending on their size scale) as well as a hierarchy of ODLRO which depends on the coherence length of the condensate.
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