ON THE THEORY OF THE TRANSVERSE ISING-MODEL WITH ARBITRARY SPIN

A theoretical study of the transverse Ising model with arbitrary spin is presented using an extension of an effective field theory that has recently been introduced for studying general spin S Ising models. In the theory, the effective field equations are derived using a probabil ity distribution method, and the single site kinematic relations are a ccounted for by the use of the generalised Van der Waerden identities of Tucker. The dependence of the transition temperature for longitudin al ordering is studied as a function of the transverse field strength for all spin values from S = 1/2 to 5/2. Selected results for the ther mal dependence of the longitudinal and transverse components S of the magnetization and its higher moments are also presented.