About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521842425

ISBN-139780521842426

eBay Product ID (ePID)48645559

Product Key Features

Number of Pages338 Pages

LanguageEnglish

Publication NameSeries Expansion Methods for Strongly Interacting Lattice Models

SubjectTopology, Physics / Mathematical & Computational

Publication Year2006

TypeTextbook

Subject AreaMathematics, Science

AuthorChris Hamer, Weihong Zheng, Jaan Oitmaa

FormatHardcover

Dimensions

Item Height0.8 in

Item Weight26.1 Oz

Item Length10 in

Item Width7.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2006-298284

Dewey Edition22

Reviews"The present book is unique as it combines a pedagogical approach to series expansion techniques with modern applications in quantum systems. The authors succeed in making this technical subject attractive for newcomers... the book can be recommended to any researcher who wishes to learn series expansion techniques." <br/<Michel Pleimling, Mathematical Reviews, "The present book is unique as it combines a pedagogical approach to series expansion techniques with modern applications in quantum systems. The authors succeed in making this technical subject attractive for newcomers... the book can be recommended to any researcher who wishes to learn series expansion techniques." Michel Pleimling, Mathematical Reviews

IllustratedYes

Dewey Decimal511.3/3

Table Of ContentPreface; 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.

SynopsisThis comprehensive guide to series expansion methods in condensed matter and particle physics is a valuable resource for graduate students and researchers. The authors introduce the latest techniques for dealing with quantum lattice models and lattice gauge models. An accompanying resources website contains programs for implementing this powerful numerical technique., Perturbation series expansion methods are sophisticated numerical tools used to provide quantitative calculations in many areas of theoretical physics. This book gives a comprehensive guide to the use of series expansion methods for investigating phase transitions and critical phenomena, and lattice models of quantum magnetism, strongly correlated electron systems and elementary particles. Early chapters cover the classical treatment of critical phenomena through high-temperature expansions, and introduce graph theoretical and combinatorial algorithms. The book then discusses high-order linked-cluster perturbation expansions for quantum lattice models, finite temperature expansions, and lattice gauge models. Also included are numerous detailed examples and case studies, and an accompanying resources website, www.cambridge.org/9780521842426, contains programs for implementing these powerful numerical techniques. A valuable resource for graduate students and postdoctoral researchers working in condensed matter and particle physics, this book will also be useful as a reference for specialized graduate courses on series expansion methods.

LC Classification NumberQA171.5 .O38 2006