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This book is about spin systems as models for magnetic materials, especially antiferromagnetic lattices. Spin-systems are well-defined models, for which, in special cases, exact properties may be derived. These special cases are for the greater part, one- dimensional and restricted in their applicability, but they may give insight into general properties that also exist in higher dimension. This work pays special attention to qualitative differences between spin lattices of different dimensions. It also replaces the traditional picture of an (ordered) antiferromagnetic state of a Heisenberg sy

Magnetic materials --- Mathematical physics --- Spin waves --- Waves, Spin --- Ferromagnetism --- Low temperatures --- Nuclear spin --- Physical mathematics --- Physics --- Materials --- Mathematical models --- Mathematics --- Electronics and optics of solids --- Mathematical physics. --- Mathematical models.