000			02619nam a22003137a 4500
003			OSt
005			20250227152312.0
008			250226b |||||||| |||| 00| 0 hin d
020			_a9783030412647
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a530.145 _bTAS-P
100			_aTasaki, Hal
245			_aPhysics and mathematics of quantum many-body systems
260			_aCham, Switzerland : _bSpringer, _c2020.
300			_axviii, 525 pages : _b245 b/w illustrations, 2 illustrations in colour
490			_aGraduate texts in physics _x1868-4513
504			_aIncludes bibliographical references and index
520			_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), Haldane phenomena 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.
650			_aMany-body problem
650			_aQuantum spin systems
650			_aHeisenberg antiferromagnet
650			_aHaldane phenomena
650			_aHaldane conjecture
650			_aHubbard model
650			_aSpontaneous symmetry breaking
856			_3Table of content _uhttps://link.springer.com/content/pdf/bfm:978-3-030-41265-4/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/50690438-physics-and-mathematics-of-quantum-many-body-systems?ac=1&from_search=true&qid=03sOn7IzY0&rank=1#CommunityReviews
942			_2udc _cBK
999			_c35789 _d35789