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010 _a 2019748448
020 _a9783319517766 (Hb)
024 7 _a10.1007/978-3-319-51777-3
_2doi
035 _a(DE-He213)978-3-319-51777-3
040 _aDLC
_beng
_epn
_erda
_cIISERB
072 7 _aPHQ
_2bicssc
072 7 _aPHQ
_2thema
072 7 _aSCI057000
_2bisacsh
082 0 4 _a530.12 L239F
_223
100 1 _aLandsman, Klaas.
_929652
245 1 0 _aFoundations of Quantum Theory :
_bFrom Classical Concepts to Operator Algebras
_cby Klaas Landsman.
260 _aSwitzerland:
_bSpringer-Nature,
_c2017.
300 _aXXXVI, 881 pages.
490 1 _aFundamental Theories of Physics,
_x0168-1222 ;
_v188
505 0 _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.
506 0 _fUnrestricted online access
520 _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.
540 _aCreative Commons Attribution 4.0 International.
_uhttps://creativecommons.org/licenses/by/4.0/
650 0 _aAlgebra.
_929653
650 0 _aMathematical physics.
_929654
650 0 _aMatrix theory.
_929655
650 0 _aPhysics.
_929656
650 0 _aQuantum physics.
_929657
650 1 4 _aQuantum Physics.
_929658
650 2 4 _aHistory and Philosophical Foundations of Physics.
_929659
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_929660
650 2 4 _aMathematical Physics.
_929661
776 0 8 _iPrint version:
_tFoundations of quantum theory.
_z9783319517766
_w(DLC) 2017933673
776 0 8 _iPrinted edition:
_z9783319517766
776 0 8 _iPrinted edition:
_z9783319517780
776 0 8 _iPrinted edition:
_z9783319847382
830 0 _aFundamental Theories of Physics,
_v188
_929662
856 4 0 _dgdcebookspublic
_f2019748448
_uhttps://hdl.loc.gov/loc.gdc/gdcebookspublic.2019748448
906 _a0
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_corigres
_du
_encip
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942 _2ddc
_cBK
999 _c10124
_d10124