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Old mathematical errors in statistical physics

机译:统计物理学中的旧数学错误

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摘要

In this paper, we discuss the following questions of quantum statistics: (1) the absence of Bose condensate in ideal Bose gas in the two-dimensional and one-dimensional case; (2) the concentration of the Bose condensate in an ideal Bose gas at the lowest level of the spectrum of the Schr?dinger operator. In classical statistics, we discuss the discrepancy between the notion of Boltzman-Maxwell ideal gas with the notion of saturated vapor. The appearance of clusters requires the complete revision of the Clayperon equation as an equation depending on the number of degrees of freedom. For the new ideal gas and the ideal virtual liquid, we describe the phase transition of the first kind by specifying the concept of negative pressure for ideal virtual liquids.
机译:在本文中,我们讨论了以下量子统计问题:(1)在二维和一维情况下,理想玻色气体中不存在玻色凝结; (2)理想Bose气体中的Bose冷凝物浓度在Schrdinger算子的最低光谱范围内。在经典统计中,我们讨论了Boltzman-Maxwell理想气体概念与饱和蒸气概念之间的差异。团簇的出现需要对Clayperon方程进行完全修订,该方程取决于自由度的数量。对于新的理想气体和理想虚拟液体,我们通过指定理想虚拟液体的负压概念来描述第一种相变。

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