Difference Equation Solutions to the One-Dimensional Ising Model with General Spin

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概要

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• The one-dimensional Ising model with general spin S and either open or periodic boundary conditions has been formulated as a difference equation of order 2S+1 with nonzero magnetic field Β. This difference equation has the characteristic equation of the transfer matrix, V, as its indicial equation. When Β=0, for the open chain, the order of the difference equation is reduced to [S+1]. It is shown that the correlation functions for the open chain satisfy similar difference equations. This result explicitly displays the lack of translational invariance of the open chain. For several cases it is shown that the partition function can be represented as the difference of two Chebyshev polynomials of the second kind.

• 理論物理学刊行会の論文
• 1971-09-25

著者

• Frankel N.

  School Of Physics University Of Melbourne

• SILVER H.

  School of Physics, University of Melbourne

• Silver H.

  School Of Physics University Of Melbourne

関連論文

• Domain Structure in a Second-Neighbour Ising Chain
• A Phenomenological Model of Cooperativity
• Difference Equation Solutions to the One-Dimensional Ising Model with General Spin

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