Perturbation series expansion methods are sophisticated numerical tools used in many areas of theoretical physics. This is a comprehensive guide to series methods in condensed matter and particle physics. After covering the classical treatment of critical phenomena, the authors introduce the latest techniques for dealing with quantum lattice models and lattice gauge models. An accompanying resources website, www.cambridge.org/9780521842426, contains programs for implementing these powerful numerical techniques. A valuable resource for postdoctoral researchers, this book will also be used as a…mehr
Perturbation series expansion methods are sophisticated numerical tools used in many areas of theoretical physics. This is a comprehensive guide to series methods in condensed matter and particle physics. After covering the classical treatment of critical phenomena, the authors introduce the latest techniques for dealing with quantum lattice models and lattice gauge models. An accompanying resources website, www.cambridge.org/9780521842426, contains programs for implementing these powerful numerical techniques. A valuable resource for postdoctoral researchers, this book will also be used as a reference for specialized graduate courses on series expansion methods.
Jaan Oitmaa is Emeritus Professor at the University of New South Wales, Sydney. During his long career he has studied critical phenomena and also served as President of the Australian Institute of Physics. Chris Hamer is a Visiting Associate Professor at UNSW. His interests lie in statistical mechanics and condensed matter physics. Weihong Zheng is a Senior Research Associate at UNSW, and has gained a worldwide reputation as an expert in the techniques of perturbative series expansions.
Inhaltsangabe
Preface 1. Introduction 2. High- and low-temperature expansions for the Ising Model 3. Models with continuous symmetry and the free graph expansion 4. Quantum spin models at T = 0 5. Quantum antiferromagnets at T = 0 6. Correlators, dynamical structure factors and multi-particle excitations 7. Quantum spin models at finite temperature 8. Electronic models 9. Review of lattice gauge theory 10. Series expansions for lattice gauge models 11. Additional topics Appendices Bibliography Index.
Preface 1. Introduction 2. High- and low-temperature expansions for the Ising Model 3. Models with continuous symmetry and the free graph expansion 4. Quantum spin models at T = 0 5. Quantum antiferromagnets at T = 0 6. Correlators, dynamical structure factors and multi-particle excitations 7. Quantum spin models at finite temperature 8. Electronic models 9. Review of lattice gauge theory 10. Series expansions for lattice gauge models 11. Additional topics Appendices Bibliography Index.
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