EXACT SOLUTIONS OF THE ISING MODELS IN A MAGNETIC FIELD

What is it about?

Previously, the author solved the one-, two- and three-dimensional Ising models in the absence of an external magnetic field exactly. Additional convincing proofs for these solutions are given here. The exact solutions of the Ising models in a magnetic field are found. It is shown that the conventional methods of solving the Ising models are incorrect. Heat capacities and zero-field magnetic susceptibilities of the Ising models are calculated exactly for all dimensions (including the case of polonium) and a flaw in Onsager’s solution for heat capacity is detected. (It is shown that Onsager’s solution of the twodimensional Ising model is wrong).

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Why is it important?

Nobody succeeded to solve the Ising models exactly, but I succeeded to doit even in a magnetic field