Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising System : Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations
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The partition function of a quantal spin system is expressed by that of the Ising model, on the basis of the generalized Trotter formula. Thereby the ground state of the d-dimensional Ising model with a transverse field is proven to be equivalent to the (d+1)-dimensional Ising model at finite temperatures. A general relationship is established between the two partition functions of a general quantal spin system and the corresponding Ising model with many-spin interactions, which yields some rigorous results on quantum systems. Some applications are given.
- 理論物理学刊行会の論文
- 1976-11-25
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