Foundations and Interpretation of Quantu

Foundations and Interpretation of Quantu

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Format E-Bok
Filformat PDF
Utgivelsesår 2000
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789810248215
Sider 1016
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Om Foundations and Interpretation of Quantu

The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of “Schrödinger cats”; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches. Contents:Basic Formalism and Extensions of Quantum Mechanics:Where the Problems BeginBasic Quantum MechanicsRelativistic Quantum MechanicsQuantum OpticsThe Copenhagen Interpretation:First Interpretations of Quantum MechanicsUncertainty PrincipleThe Complementarity PrincipleFirst Foundations of Quantum Mechanics:QM AxiomaticsHilbert Spaces and OperatorsClassical and Quantum Probability: An OverviewGeometric PhaseMeasurement Problem:Some Preliminary NotionsVon Neumann Theory and Its RefinementsMany-World InterpretationSolutions Using Classical or Semiclassical ApparataDecoherenceOperational Stochastic QMNon-Demolition Measurement TheoryInformation Without InteractionMicrophysics/Macrophysics:Decoherence and ThermodynamicsQuantum JumpsReductions to Classical CaseGeneration of the CatTime and QM:Consistent and Decohering HistoriesDelayed ChoiceReversibility and IrreversibilityWave/Particle Dualism:The Reality of Quantum Waves and StatesThe Indeterminacy of Quantum Waves and StatesBetween Wave and ParticleCompleteness and Determinism:Einstein/Podolsky/Rosen ArgumentExamination and Interpretation of Hidden-Variable TheoriesStochastic GeneralizationThe Problem of Non-Locality:Initial Criticisms of the Einstein/Podolsky/Rosen ArgumentBell InequalitiesThe Problem of Separability as SuchMore Exact Bounds for the InequalitiesEntanglement with Pure States and with MixturesGeneralized Bell InequalitiesBell Inequalities for Other ObservablesOther Non-Local EffectsInformation and Quantum Mechanics:Information and Entropy in Quantum MechanicsQuantum Cryptography and TeleportationQuantum Information and ComputationConclusions:A Foundational SynthesisOutline of an Interpretation of Quantum MechanicsReadership: Quantum physicists.Key Features:Provides high treatment on wide classes of jump processes with fat tails, and typically stable processesContains a unique and unifying method, namely the minimal entropy martingale measureWell-furnished with the procedure for the applications and calibrations to practical problems


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