Self-similar potentials and Ising models |
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| Authors: | I Loutsenko V Spiridonov |
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| Institution: | (1) Centre de Recherches Mathématiques, Université de Montréal, H3C 3J7 Montréal (Québec), Canada;(2) Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow District, Russia |
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| Abstract: | A new link between soliton solutions of integrable nonlinear equations and one-dimensional Ising models is established. Translational invariance of the spin lattice associated with the KdV equation is related to self-similar potentials of the Schrödinger equation. This gives antiferromagnets with exponentially decaying interaction between the spins. The partition function is calculated exactly for a uniform magnetic field and two discrete values of the temperature. |
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