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• W2110273883 abstract "In this paper we calculate some exact solutions of the grand partition functions for quantum gases in confined space, such as ideal gases in two- and three-dimensional boxes, in tubes, in annular containers, on the lateral surface of cylinders, and photon gases in three-dimensional boxes. Based on these exact solutions, which, of course, contain the complete information about the system, we discuss the geometry effect which is neglected in the calculation with the thermodynamic limit $stackrel{ensuremath{rightarrow}}{V}ensuremath{infty},$ and analyze the validity of the quantum statistical method which can be used to calculate the geometry effect on ideal quantum gases confined in two-dimensional irregular containers. We also calculate the grand partition function for phonon gases in confined space. Finally, we discuss the geometry effects in realistic systems." @default.
• W2110273883 created "2016-06-24" @default.
• W2110273883 creator A5001909929 @default.
• W2110273883 creator A5089512472 @default.
• W2110273883 date "2004-07-01" @default.
• W2110273883 modified "2023-10-10" @default.
• W2110273883 title "Geometry effects in confined space" @default.
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• W2110273883 doi "https://doi.org/10.1103/physreve.70.016103" @default.
• W2110273883 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/15324125" @default.
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