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OverviewFull Product DetailsAuthor: Andrey Anatoljevich Grib , Waldyr Alves Rodrigues Jr.Publisher: Springer Science+Business Media Imprint: Kluwer Academic/Plenum Publishers Edition: 1999 ed. Dimensions: Width: 17.80cm , Height: 1.70cm , Length: 25.40cm Weight: 1.490kg ISBN: 9780306461828ISBN 10: 030646182 Pages: 225 Publication Date: 31 July 1999 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. Introduction.- References.- 2. Fundamentals.- 2.1 The rules of the game.- 2.2 The whole and its parts.- 2.3 Classical limit and decoherence.- 2.4 Proofs of the frequency interpretation.- References.- 3. How ? Collapses.- 3.1 The problem.- 3.2 Collapse and unitary evolution.- References.- 4. Bell’s Inequalities.- 4.1 The Einstein, Podolski and Rosen (EPR) argument.- 4.2 D’Espagnat’s version of Bell’s inequalities.- 4.3 Stapp’s formulation of Bell’s inequalities.- 4.4 Bell’s proof.- References.- 5. Copenhagen Interpretation.- 5.1 Absence of quantum objects.- 5.2 Objectively existing potentialities world.- References.- 6. Many Worlds Interpretation (MWI).- 6.1 The role of the observer.- 6.2 Nonlocality.- 6.3 Criticisms.- References.- 7. Quantum Logic (QL).- 7.1 Proposal.- 7.2 Hasse diagrams.- 7.3 The birth of time.- References.- 8. Macroscopic Realizations of QL.- 8.1 Lattices and graphs.- 8.2 Breakdown of Bell’s inequalities.- 8.3 The Problem of Nonlocality.- References.- 9. Hidden Variables Theories (HVT).- 9.1 What is a hidden variables theory?.- 9.2 Von Neumann’s theorem.- 9.3 Spin 1/2 hidden variable’s model.- 9.4 Gleason’s theorem. Kochen-Specker paradox.- References.- 10. De broglie-Bohm Non. Relativistic HVT.- 10.1 Non relativistic de Broglie-Bohm theory.- 10.2 The many particle system.- 10.3 Remarks on the non relativistic BBT.- References.- 11. De Broglie-Bohm Relativistic HVT.- 11.1 HVT interpretation of the boson equations.- 11.2 The BBT interpretation of the Dirac equation.- 11.3 Relativistic BBT many-fermion theory.- 11.4 Necessity of superluminal processes.- References.- 12. Statistical Interpretation.- 12.1 Introduction.- 12.2 When is the SIQT possible?.- 12.3 SIQT × orthodox quantum theory.- References.- 13. Non-UnitaryEvolution?.- 13.1 Prigogine and Ghirardi et al. theories.- 13.2 Criticisms.- References.- 14. Histories Approach.- 14.1 What is a history?.- 14.2 Consistent histories.- 14.3 Criticisms.- References.- 15. Quantum Miracles and Cryptography.- 15.1 Greenberger et al. example.- 15.2 Hardy’s example.- 15.3 Negative experiments. Elitzur-Vaidman proposal.- 15.4 Delayed choice experiments.- 15.5 Quantum erasers.- 15.6 Quantum cryptography.- 15.7 Teleportation.- References.- 16. Where are We Now?.- References.- Appendices.- A— Set Theory and Lattices.- A.1 Main definitions.- A.2 Posets.- A.3 Lattices.- A.4 The Boolean algebra of sets.- A.5 Borel sets, measures and integration.- References.- B— Hilbert Spaces.- B.1 Definition of Hilbert Space.- B.2 Linear manifolds and subspaces.- B.2.1 The lattice of subspaces.- B.3 Dual and conjugate dual spaces.- B.4 Tensor products.- B.5 Linear operators.- B.6 Projection operators and lattice structure.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |