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010   $a9783030412654
010   $a3030412652
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(MiAaPQ)EBC31887489
035   $a(Au-PeEL)EBL31887489
035   $a(OCoLC)1154567924
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 /$fby Hal Tasaki
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (534 pages)
225 1 $aGraduate Texts in Physics,$x1868-4521
311 08$a9783030412647 
311 08$a3030412644 
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,$x1868-4521
606   $aSuperconductivity
606   $aSuperconductors
606   $aMathematical physics
606   $aCondensed matter
606   $aSuperconductivity
606   $aMathematical Physics
606   $aTheoretical, Mathematical and Computational Physics
606   $aPhase Transitions and Multiphase Systems
606   $aMathematical Methods in Physics
615  0$aSuperconductivity.
615  0$aSuperconductors.
615  0$aMathematical physics.
615  0$aCondensed matter.
615 14$aSuperconductivity.
615 24$aMathematical Physics.
615 24$aTheoretical, Mathematical and Computational Physics.
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   $a9910410002903321
996   $aPhysics and Mathematics of Quantum Many-Body Systems$91882234
997   $aUNINA