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008 | 170512s2017 gw |||| o |||| 0|eng | ||
010 | _a 2019748448 | ||
020 | _a9783319517766 (Hb) | ||
024 | 7 |
_a10.1007/978-3-319-51777-3 _2doi |
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035 | _a(DE-He213)978-3-319-51777-3 | ||
040 |
_aDLC _beng _epn _erda _cIISERB |
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_aPHQ _2bicssc |
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_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. |
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300 | _aXXXVI, 881 pages. | ||
490 | 1 |
_aFundamental Theories of Physics, _x0168-1222 ; _v188 |
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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/ |
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650 | 0 |
_aAlgebra. _929653 |
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650 | 0 |
_aMathematical physics. _929654 |
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650 | 0 |
_aMatrix theory. _929655 |
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650 | 0 |
_aPhysics. _929656 |
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650 | 0 |
_aQuantum physics. _929657 |
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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 |
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_dgdcebookspublic _f2019748448 _uhttps://hdl.loc.gov/loc.gdc/gdcebookspublic.2019748448 |
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