The dynamic properties of one-dimensional magnets with either ferro- or antiferro-magnetic coupling (J) and arbitrary spins (S) are studied over a wide range of temperatures. A simple expression for the relaxation shape function F(k, omega ) (equivalent to the generalized susceptibility), which has the merit of satisfying certain sum rules and limits, is derived from Mori's generalized Langevin equation with the three-pole approximation introduced by Lovesey and Meserve 1972. The form and properties of the function are found.
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S W Lovesey (1974) studied this question.
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