Abstract:
Partition function of $N$ atoms interacting via long-range and short-range potentials
is presented in the form of functional integrals. It is shown that the problem can be
formulated by means of some adequate lattice. Coefficients of the expression obtained
are functions of the wave vectors of this lattice and can be reduced to the functions
dependent only on the average density of the particles. As a result, a possibility appears
to calculate the partition function of liquid-gas system by the methods developed
previously for the Ising model.