New approach to the ising-onsager problem

摘要

One more method of finding the Onsager solution of the 2D Ising model is presented in this paper. This method, contrary to the previously known ones, enables us to study the problem at the assumption of a weak magnetic field. Moreover, it allows for the generalizations to the three-dimensional case without magnetic field, as well as with a weak external magnetic field. Generalized transformations of the Jodan-Wigner type, in the form introduced by the author [1], are used in the present paper.