Casimir盒中的正则理想玻色气体
The Canonical Perfect Bose Gas in Casimir Boxes
摘要：
本文研究了正则系综中理想玻色气体在各向异性膨胀矩形平行管（Casimir盒）中的玻色-爱因斯坦凝聚问题。我们证明了在这些各向异性盒的正则系综中存在与等价几何的巨正则系综中相同类型的广义玻色-爱因斯坦凝聚。然而，在某些情况下，各个状态下的凝聚量是不同的，波动也是如此。
英文摘要：
We study the problem of Bose-Einstein condensation in the perfect Bose gas in the canonical ensemble, in anisotropically dilated rectangular parallelpipeds (Casimir boxes). We prove that in the canonical ensemble for these anisotropic boxes there is the same type of generalized Bose-Einstein condensation as in the grand-canonical ensemble for the equivalent geometry. However the amount of condensate in the individual states is different in some cases and so are the fluctuations.
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