LEADER 04029 am 22007333u 450 001 9910220007503321 005 20230405173255.0 010 $a3-319-51777-5 024 7 $a10.1007/978-3-319-51777-3 035 $a(CKB)4340000000061852 035 $a(DE-He213)978-3-319-51777-3 035 $a(MiAaPQ)EBC5595255 035 $a(Au-PeEL)EBL5595255 035 $a(OCoLC)1076259096 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/58238 035 $a(PPN)201471647 035 $a(EXLCZ)994340000000061852 100 $a20170512d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFoundations of Quantum Theory $eFrom Classical Concepts to Operator Algebras /$fby Klaas Landsman 205 $a1st ed. 2017. 210 $cSpringer Nature 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XXXVI, 861 p. 9 illus., 8 illus. in color.) 225 1 $aFundamental Theories of Physics,$x0168-1222 ;$v188 311 $a3-319-51776-7 327 $aIntroduction -- Part I Co(X) and B(H): Classical physics on a finite phase space -- Quantum mechanics on a finite-dimensional Hilbert space -- Classical physics on a general phase space -- Quantum physics on a general Hilbert space -- Symmetry in quantum mechanics -- Part II Between Co(X) and B(H): Classical models of quantum mechanics -- Limits: Small hbar -- Limits: large N -- Symmetry in algebraic quantum theory -- Spontaneous Symmetry Breaking -- The Measurement Problem -- Topos theory and quantum logic -- Appendix A: Finite-dimensional Hilbert spaces -- Appendix B: Basic functional analysis -- Appendix C: Operator algebras -- Appendix D: Lattices and logic -- Appendix E: Category theory and topos theory -- References. 330 $aThis book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence. 410 0$aFundamental Theories of Physics,$x0168-1222 ;$v188 606 $aQuantum physics 606 $aMathematical physics 606 $aPhysics 606 $aMatrix theory 606 $aAlgebra 606 $aQuantum Physics 606 $aMathematical Physics 606 $aHistory and Philosophical Foundations of Physics 606 $aLinear and Multilinear Algebras, Matrix Theory 610 $aAlgebra 610 $aMatrix theory 610 $aQuantum physics 610 $aMathematical physics 615 0$aQuantum physics. 615 0$aMathematical physics. 615 0$aPhysics. 615 0$aMatrix theory. 615 0$aAlgebra. 615 14$aQuantum Physics. 615 24$aMathematical Physics. 615 24$aHistory and Philosophical Foundations of Physics. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 676 $a530.12 700 $aLandsman$b Klaas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0821832 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910220007503321 996 $aFoundations of Quantum Theory$92119925 997 $aUNINA