LEADER 04768nam 22007335 450 001 9910736995303321 005 20230810190306.0 010 $a3-319-43389-X 024 7 $a10.1007/978-3-319-43389-9 035 $a(CKB)3710000000838080 035 $a(EBL)4653484 035 $a(DE-He213)978-3-319-43389-9 035 $a(MiAaPQ)EBC4653484 035 $a(PPN)194804720 035 $a(EXLCZ)993710000000838080 100 $a20160823d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum Measurement /$fby Paul Busch, Pekka Lahti, Juha-Pekka Pellonpää, Kari Ylinen 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (544 p.) 225 1 $aTheoretical and Mathematical Physics,$x1864-5887 300 $aDescription based upon print version of record. 311 $a3-319-43387-3 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aIntroduction -- Part I Mathematics -- Rudiments of Hilbert Space Theory -- Classes of Compact Operators -- Operator Integrals and Spectral Representations: the Bounded Case -- Operator Integrals and Spectral Representations: the Unbounded Case -- Miscellaneous Algebraic and Functional Analytic Techniques -- Dilation Theory -- Positive Operator Measures: Examples -- Part II Elements -- States, Effects and Observables -- Measurement -- Joint Measurability -- Preparation Uncertainty -- Measurement Uncertainty -- Part III Realisations -- Qubits -- Position and Momentum -- Number and Phase -- Time and Energy -- State Reconstruction -- Measurement Implementations -- Part IV Foundations -- Bell Inequalities and Incompatibility -- Measurement Limitations due to Conservation Laws -- Measurement Problem -- Axioms for Quantum Mechanics -- Index. 330 $aThis is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann?s classic treatise with this title. Fundamental non-classical features of quantum mechanics?indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality?are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory. 410 0$aTheoretical and Mathematical Physics,$x1864-5887 606 $aQuantum theory 606 $aPhysics$xPhilosophy 606 $aMathematical physics 606 $aSpintronics 606 $aFunctional analysis 606 $aQuantum Physics 606 $aPhilosophical Foundations of Physics and Astronomy 606 $aMathematical Physics 606 $aSpintronics 606 $aFunctional Analysis 615 0$aQuantum theory. 615 0$aPhysics$xPhilosophy. 615 0$aMathematical physics. 615 0$aSpintronics. 615 0$aFunctional analysis. 615 14$aQuantum Physics. 615 24$aPhilosophical Foundations of Physics and Astronomy. 615 24$aMathematical Physics. 615 24$aSpintronics. 615 24$aFunctional Analysis. 676 $a530.8 700 $aBusch$b Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut$0348011 702 $aLahti$b Pekka$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aPellonpää$b Juha-Pekka$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aYlinen$b Kari$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910736995303321 996 $aQuantum Measurement$93427797 997 $aUNINA