LEADER 03037nam 2200661Ia 450 001 9910783919803321 005 20230617010150.0 010 $a1-281-89700-0 010 $a9786611897000 010 $a981-270-126-5 035 $a(CKB)1000000000334325 035 $a(EBL)296130 035 $a(OCoLC)476063557 035 $a(SSID)ssj0000162003 035 $a(PQKBManifestationID)11182530 035 $a(PQKBTitleCode)TC0000162003 035 $a(PQKBWorkID)10199876 035 $a(PQKB)11402224 035 $a(MiAaPQ)EBC296130 035 $a(WSP)00001929 035 $a(Au-PeEL)EBL296130 035 $a(CaPaEBR)ebr10174041 035 $a(CaONFJC)MIL189700 035 $a(OCoLC)71342386 035 $a(EXLCZ)991000000000334325 100 $a20050427d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric and algebraic topological methods in quantum mechanics$b[electronic resource] /$fGiovanni Giachetta & Luigi Mangiarotti, Gennadi Sardanashvily 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific$dc2005 215 $a1 online resource (715 p.) 300 $aDescription based upon print version of record. 311 $a981-256-129-3 320 $aIncludes bibliographical references (p. 661-681) and index. 327 $aPreface; 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; Index 330 $aIn 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. Ge 606 $aQuantum theory 606 $aGeometric quantization 606 $aTopology 606 $aMathematical physics 615 0$aQuantum theory. 615 0$aGeometric quantization. 615 0$aTopology. 615 0$aMathematical physics. 676 $a530.12 700 $aGiachetta$b G$061715 701 $aMangiarotti$b L$061716 701 $aSardanashvili$b G. A$g(Gennadii? Aleksandrovich)$01466143 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910783919803321 996 $aGeometric and algebraic topological methods in quantum mechanics$93729035 997 $aUNINA