LEADER 04623nam 22006975 450 001 996418181503316 005 20200706135222.0 010 $a3-030-41265-2 024 7 $a10.1007/978-3-030-41265-4 035 $a(CKB)4100000011273727 035 $a(MiAaPQ)EBC6192304 035 $a(DE-He213)978-3-030-41265-4 035 $a(PPN)248395505 035 $a(EXLCZ)994100000011273727 100 $a20200507d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPhysics and Mathematics of Quantum Many-Body Systems$b[electronic resource] /$fby Hal Tasaki 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (534 pages) 225 1 $aGraduate Texts in Physics,$x1868-4513 311 $a3-030-41264-4 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Basics of quantum spin systems.-Long-range order and spontaneous symmetry breaking in the classical and quantum Ising models -- Long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model -- Long-range order and ?spontaneous symmetry breaking? in Bose-Einstein condensates.-Affleck-Kennedy-Lieb-Tasaki model -- Haldane phase.-The origin of ferromagnetism -- Mathematical appendices -- Solutions -- Index. 330 $aThis book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), the Haldane phenomenon in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book?s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes. . 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aSuperconductivity 606 $aSuperconductors 606 $aMathematical physics 606 $aStatistical physics 606 $aPhase transitions (Statistical physics) 606 $aPhysics 606 $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 606 $aPhase Transitions and Multiphase Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P25099 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aSuperconductivity. 615 0$aSuperconductors. 615 0$aMathematical physics. 615 0$aStatistical physics. 615 0$aPhase transitions (Statistical physics). 615 0$aPhysics. 615 14$aStrongly Correlated Systems, Superconductivity. 615 24$aMathematical Physics. 615 24$aStatistical Physics and Dynamical Systems. 615 24$aPhase Transitions and Multiphase Systems. 615 24$aMathematical Methods in Physics. 676 $a521.015118 700 $aTasaki$b Hal$4aut$4http://id.loc.gov/vocabulary/relators/aut$0843551 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418181503316 996 $aPhysics and Mathematics of Quantum Many-Body Systems$91882234 997 $aUNISA