03519nam 2200601Ia 450 991014078890332120200520144314.01-280-38212-097866135600323-642-13290-110.1007/978-3-642-13290-2(CKB)2670000000045353(SSID)ssj0000449739(PQKBManifestationID)11290154(PQKBTitleCode)TC0000449739(PQKBWorkID)10434866(PQKB)11157366(DE-He213)978-3-642-13290-2(MiAaPQ)EBC3065708(PPN)258846038(PPN)149027796(EXLCZ)99267000000004535320100907d2010 uy 0engurnn|008mamaatxtccrAn introduction to quantum spin systems /John Parkinson, Damian J J Farnell1st ed. 2010.Berlin ;Heidelberg Springer-Verlag20101 online resource (XI, 154 p. 22 illus.) Lecture notes in physics,0075-8450 ;816Bibliographic Level Mode of Issuance: Monograph3-642-13289-8 Includes bibliographical references and index.Spin Models -- Quantum Treatment of the Spin-½ Chain -- The Antiferromagnetic Ground State -- Antiferromagnetic Spin Waves -- The XY Model -- Spin-Wave Theory -- Numerical Finite-Size Calculations -- Other Approximate Methods -- The Coupled Cluster Method -- Quantum Magnetism.The topic of lattice quantum spin systems is a fascinating and by now well-established branch of theoretical physics. However, many important questions remain to be answered. Their intrinsically quantum mechanical nature and the large (usually effectively infinite) number of spins in macroscopic materials often leads to unexpected or counter-intuitive results and insights. Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases. These exact solutions contain many highly nontrivial features. This book was inspired by a set of lectures on quantum spin systems and it is set at a level of practical detail that is missing in other textbooks in the area. It will guide the reader through the foundations of the field. In particular, the solutions of the Heisenberg and XY models at zero temperature using the Bethe Ansatz and the Jordan-Wigner transformation are covered in some detail. The use of approximate methods, both theoretical and numerical, to tackle more advanced topics is considered. The final chapter describes some very recent applications of approximate methods in order to show some of the directions in which the study of these systems is currently developing.Lecture notes in physics ;816.Nuclear spinQuantum theoryNuclear spin.Quantum theory.539.7/25Parkinson John252390Farnell Damian J. J515328MiAaPQMiAaPQMiAaPQBOOK9910140788903321Introduction to Quantum Spin Systems855599UNINA