  Difference Boltzmann Equation is derived in a plane wavelets representation
with account of two-particle correlations. It is shown that the set of plane
wavelet orthonormal functions is complete. The set of ket vectors is used as
the second quantization basis allowing introducing the positively definite
distribution function. It is obtained that inhomogeneous system is described by
numbers of particles at quantized positions with quantized momenta. Difference
Boltzmann Equation transforms into the classical Boltzmann Equation in the
limit, where distribution function varies little in and
