Editing Ideal gas partition function
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:<math>Q_{NVT}=\frac{1}{N!}\frac{1}{h^{3N}}\int\int d{\mathbf p}^N d{\mathbf r}^N \exp \left[ - \frac{H({\mathbf p}^N,{\mathbf r}^N)}{k_B T}\right]</math> | :<math>Q_{NVT}=\frac{1}{N!}\frac{1}{h^{3N}}\int\int d{\mathbf p}^N d{\mathbf r}^N \exp \left[ - \frac{H({\mathbf p}^N,{\mathbf r}^N)}{k_B T}\right]</math> | ||
where ''h'' is [[ | where ''h'' is [[Planck's constant]], ''T'' is the [[temperature]] and <math>k_B</math> is the [[Boltzmann constant]]. When the particles are distinguishable then the factor ''N!'' disappears. <math>H(p^N, r^N)</math> is the [[Hamiltonian]] | ||
corresponding to the total energy of the system. | corresponding to the total energy of the system. | ||
''H'' is a function of the ''3N'' positions and ''3N'' momenta of the particles in the system. | ''H'' is a function of the ''3N'' positions and ''3N'' momenta of the particles in the system. |