000 04202nam a22006015i 4500
001 978-3-319-51777-3
003 DE-He213
005 20210511122351.0
007 cr nn 008mamaa
008 170512s2017 gw | s |||| 0|eng d
020 _a9783319517773
_9978-3-319-51777-3
024 7 _a10.1007/978-3-319-51777-3
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
100 1 _aLandsman, Klaas.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_96495
245 1 0 _aFoundations of Quantum Theory
_h[electronic resource] :
_bFrom Classical Concepts to Operator Algebras /
_cby Klaas Landsman.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXXXVI, 861 p. 9 illus., 8 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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 _aOpen 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.
650 0 _aQuantum physics.
_97292
650 0 _aMathematical physics.
_9673
650 0 _aPhysics.
_9192
650 0 _aMatrix theory.
_9671
650 0 _aAlgebra.
_9672
650 1 4 _aQuantum Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P19080
_97293
650 2 4 _aMathematical Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M35000
_9673
650 2 4 _aHistory and Philosophical Foundations of Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P29000
_91000
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11094
_9674
710 2 _aSpringerLink (Online service)
_9141
776 0 8 _iPrinted edition:
_z9783319517766
776 0 8 _iPrinted edition:
_z9783319517780
776 0 8 _iPrinted edition:
_z9783319847382
830 0 _aFundamental Theories of Physics,
_x0168-1222 ;
_v188
_95229
856 4 0 _uhttps://doi.org/10.1007/978-3-319-51777-3
912 _aZDB-2-PHA
912 _aZDB-2-SXP
912 _aZDB-2-SOB
942 _cEBK
_w1
_xAdministrator Library
_y1
_z Administrator Library
999 _c1502
_d1502
773 _tSpringer Nature Open Access eBook