000 02229nam a22002177a 4500
003 OSt
005 20240926114441.0
008 200109b ||||| |||| 00| 0 eng d
020 _a9780521143592
040 _cTata Book House
_aICTS-TIFR
050 _aQA 171.5
100 _aJaan Oitmaa
245 _aSeries expansion methods for strongly interacting lattice models
260 _aNew York:
_bCambridge University Press,
_c[c2010]
300 _a327 p
505 _a1 - 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
520 _aPerturbation 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. --- summary provided by publisher
700 _aChris Hamer
700 _aWeihong Zheng
942 _2lcc
_cBK
999 _c2999
_d2999