LEADER 03519nam 2200601Ia 450 001 9910140788903321 005 20200520144314.0 010 $a1-280-38212-0 010 $a9786613560032 010 $a3-642-13290-1 024 7 $a10.1007/978-3-642-13290-2 035 $a(CKB)2670000000045353 035 $a(SSID)ssj0000449739 035 $a(PQKBManifestationID)11290154 035 $a(PQKBTitleCode)TC0000449739 035 $a(PQKBWorkID)10434866 035 $a(PQKB)11157366 035 $a(DE-He213)978-3-642-13290-2 035 $a(MiAaPQ)EBC3065708 035 $z(PPN)258846038 035 $a(PPN)149027796 035 $a(EXLCZ)992670000000045353 100 $a20100907d2010 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to quantum spin systems /$fJohn Parkinson, Damian J J Farnell 205 $a1st ed. 2010. 210 $aBerlin ;$aHeidelberg $cSpringer-Verlag$d2010 215 $a1 online resource (XI, 154 p. 22 illus.) 225 1 $aLecture notes in physics,$x0075-8450 ;$v816 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-13289-8 320 $aIncludes bibliographical references and index. 327 $aSpin 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. 330 $aThe topic of lattice quantum spin systems is a fascinating and by now well-established branch of theoretical physics. However, many important questions remain to be answered. Their intrinsically quantum mechanical nature and the large (usually effectively infinite) number of spins in macroscopic materials often leads to unexpected or counter-intuitive results and insights. Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases. These exact solutions contain many highly nontrivial features. This book was inspired by a set of lectures on quantum spin systems and it is set at a level of practical detail that is missing in other textbooks in the area. It will guide the reader through the foundations of the field. In particular, the solutions of the Heisenberg and XY models at zero temperature using the Bethe Ansatz and the Jordan-Wigner transformation are covered in some detail. The use of approximate methods, both theoretical and numerical, to tackle more advanced topics is considered. The final chapter describes some very recent applications of approximate methods in order to show some of the directions in which the study of these systems is currently developing. 410 0$aLecture notes in physics ;$v816. 606 $aNuclear spin 606 $aQuantum theory 615 0$aNuclear spin. 615 0$aQuantum theory. 676 $a539.7/25 700 $aParkinson$b John$0252390 701 $aFarnell$b Damian J. J$0515328 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910140788903321 996 $aIntroduction to Quantum Spin Systems$9855599 997 $aUNINA