Ref 1 Eq. 3.37:

where
is the number of particles,
is the Hamiltonian of the system
and
is the temperature (to convert
into the more familiar
kelvin scale one divides by the Boltzmann constant
).
The constant
is found from the normalization condition (Ref. 1 Eq. 3.38)

which leads to (Ref. 1 Eq. 3.40)

where (Ref. 1 Eq. 3.41)

this is the statistical integral

where
is the Hamiltonian of the system.
References[edit]
- G. A. Martynov "Fundamental Theory of Liquids. Method of Distribution Functions", Adam Hilger (out of print)