Relationship between d - Dimensional Quanta ! Spin Systems and ( d + I ) - Dimensional Ising Systems - - Equivalence
نویسنده
چکیده
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.
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تاریخ انتشار 2004