Series Expansion Methods for Strongly Interacting Lattice ModelsCambridge University Press, 06.04.2006 - 327 Seiten 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. |
Inhalt
Introduction | 1 |
High and lowtemperature expansions for the Ising model | 26 |
Models with continuous symmetry and the free graph expansion | 53 |
Quantum spin models at T 0 | 74 |
Quantum antiferromagnets at T 0 | 99 |
Correlators dynamical structure factors and multiparticle excitations | 124 |
Quantum spin models at finite temperature | 150 |
Electronic models | 179 |
Review of lattice gauge theory | 211 |
Series expansions for lattice gauge models | 230 |
Andere Ausgaben - Alle anzeigen
Series Expansion Methods for Strongly Interacting Lattice Models Jaan Oitmaa,Chris Hamer,Weihong Zheng Keine Leseprobe verfügbar - 2010 |
Series Expansion Methods for Strongly Interacting Lattice Models Jaan Oitmaa,Chris Hamer,Weihong Zheng Keine Leseprobe verfügbar - 2010 |
Häufige Begriffe und Wortgruppen
antiferromagnet approach approximants bonds calculations Chapter cluster coefficients complete compute connected consider continuum contributions correlation corresponding coupling cubic derive described developed dimensions dimer discussed effective electron elements energy equation estimates et al exact example excitations expansion expected exponent field Figure finite first function further gauge given gives graphs ground Hamiltonian Heisenberg high-temperature illustrate integral interactions interest Ising model known lattice constants leading limit magnetization matrix method Note obtained one-particle operator parameter perturbation phase Physical Physical Review possible powers procedure properties quantities quantum reader reduced refer represented series expansions shown simple space spin square lattice strong structure factor symmetry Table temperature theory transformation transition transverse two-particle unperturbed usual variables vertex vertices weights Zheng
Verweise auf dieses Buch
The Proceedings of the Festschrift in Honor of Bruce H.J. McKellar and ... Raymond R. Volkas Keine Leseprobe verfügbar - 2007 |