03037nam 2200661Ia 450 991082607220332120230617010150.01-281-89700-09786611897000981-270-126-5(CKB)1000000000334325(EBL)296130(OCoLC)476063557(SSID)ssj0000162003(PQKBManifestationID)11182530(PQKBTitleCode)TC0000162003(PQKBWorkID)10199876(PQKB)11402224(MiAaPQ)EBC296130(WSP)00001929 (Au-PeEL)EBL296130(CaPaEBR)ebr10174041(CaONFJC)MIL189700(OCoLC)71342386(EXLCZ)99100000000033432520050427d2005 uy 0engur|n|---|||||txtccrGeometric and algebraic topological methods in quantum mechanics[electronic resource] /Giovanni Giachetta & Luigi Mangiarotti, Gennadi SardanashvilySingapore ;Hackensack, N.J. World Scientificc20051 online resource (715 p.)Description based upon print version of record.981-256-129-3 Includes bibliographical references (p. 661-681) and index.Preface; Contents; Introduction; Chapter 1 Commutative geometry; Chapter 2 Classical Hamiltonian system; Chapter 3 Algebraic quantization; Chapter 4 Geometry of algebraic quantization; Chapter 5 Geometric quantization; Chapter 6 Supergeometry; Chapter 7 Deformation quantization; Chapter 8 Non-commutative geometry; Chapter 9 Geometry of quantum groups; Chapter 10 Appendixes; Bibliography; IndexIn the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. GeQuantum theoryGeometric quantizationTopologyMathematical physicsQuantum theory.Geometric quantization.Topology.Mathematical physics.530.12Giachetta G61715Mangiarotti L61716Sardanashvili G. A(Gennadiĭ Aleksandrovich)1645538MiAaPQMiAaPQMiAaPQBOOK9910826072203321Geometric and algebraic topological methods in quantum mechanics3992067UNINA