On the two- and three-dimensional ising-onsager problem in presence of magnetic field

摘要

In this paper a new approach to solving the Ising-Onsager problem in external magnetic field is investigated. The expression for free energy per Ising spin in external field both for the two dimensional and three dimen- Sional Ising model with interaction of the nearest neighbors are derived. The representations of free energy being expressed by multidimensional in- Tegrals of Gauss type with the appropriate dimensionality are shown.