0 Three - Dimensional Ising Model and Transfer Matrices

Using transfer matrix method to solve 3D Ising model is generalized straightforwardly from 2D case. We follow the B.Kaufman's approach. No approximation is made except the largest eigenvalue cannot be identified. This problem comes from the fact that we follow the choice of directions of 2-dimensional rotations in direct product space of 2D Ising model such that all eigenvalue equations reduce miraculously to only one equation. Other choice of directions of 2-dimensional rotations for finding the largest eigenvalue may lose this fascinating feature. Comparing the series expansion of internal energy per site at high temperature limit with the series obtained from the computer graphic method, we find these two series have very similar structures. A possible correcting factor Φ(x) is suggested to fit the result of the graphic method.