The two-dimensional lattice gas with nearest neighbor interaction.

摘要

The transfer matrix for the two-dimensional lattice gas with nearest neighbor interaction u is investigated. After some preliminary work, it is shown that the transfer matrix can be partially diagonalized, not only when the number of rows is prime, but also when it is non-prime. Equations are given for computing the size of the transfer matrix, and the largest submatrix of the transfer matrix, both when u = 0 and when u