Preface ; Chapter 1 -- Introduction; Chapter 2 -- Group Theory; Chapter 3 -- Perturbation Theory; Chapter 4 -- Crystal Field Theory; Chapter 5 -- Beyond Crystal Field Theory; Chapter 6 -- Second Quantization; Chapter 7 -- From Generic to Spin-Hamiltonian; Chapter 8 -- The Interactions between Ions; Chapter 9 -- Cooperative Systems; Chapter 10 -- Conductors; Chapter 11 -- Nuclear Symmetry; Index
Summary
There have been many demonstrations, particularly for magnetic impurity ions in crystals, that spin-Hamiltonians are able to account for a wide range of experimental results in terms of much smaller numbers of parameters. Yet they were originally derived from crystal field theory, which contains a logical flaw; electrons on the magnetic ions are distinguished from those on the ligands. Thus there is a challenge: to replace crystal field theory with one of equal or greater predictive power that is based on a surer footing. The theory developed in this book begins with a generic Hamiltonian,