- #1
Kevin_spencer2
- 29
- 0
Let be the continuous partition function:
[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??)
[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??)