Let be the continous partition function:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] Z(\beta)=(N!)^{-1}\int_{V}dx_1 dx_2 dx_3 dx_4 .....dx_N exp(-\beta H(x_1, x_2 , x_3 , .... ,x_n,p_1 , p_2 , ......., p_N [/tex]

if the Hamiltonian is 'quadratic' in p's are q's do this mean that the particles in the gas solid or whatever follow a Normal distribution (is Maxwell distribution under a quadratic potential or with U=0 potential a Normal distribution??)

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# Normal (probability) distribution and Partition function.

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