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catalog contributor b11840110.
catalog created "c2000.".
catalog date "2000".
catalog date "c2000.".
catalog dateCopyrighted "c2000.".
catalog description "354 -- 20.3 More Recent Experiments 355 -- V Microphysics/Macrophysics 359 -- Schrodinger's Analysis 361 -- A Short Discussion 362 -- 21 Decoherence and Thermodynamics 365 -- 21.1 Heat Baths and Master Equation 365 -- 21.2 Baths of Harmonic Oscillators 369 -- 21.3 Damping 375 -- 21.4 Ignorance and Dynamics: Baths and Damping 378 -- 21.5 Unruh/Zurek Model 379 -- 21.6 Another Model 382 -- 21.7 Measure of Decoherence 386 -- 22 Quantum Jumps 393 -- 22.2 Interpretation of Quantum Jumps and Trajectories 400 -- 22.3 Models and Experiments: Jumps as Telegraph Signals 401 -- 23 Reductions to Classical Case 403 -- 23.1 Classical Stochastic Theories 403 -- 23.2 Ghirardi/Rimini/Weber 408 -- 23.3 Stochastic Non-Linear Jump-Theories 411 -- 24 Generation of the Cat 413 -- 24.1 How to Construct a Schrodinger Cat 413 -- 24.2 Short History 414 -- 24.3".
catalog description "489 -- 28.5 Measurement of the Density Matrix 495 -- 28.6 Classical Waves or Quantum Waves? 501 -- 29 Indeterminacy of Quantum Waves and States 505 -- 29.1 Three-valued Logic 505 -- 29.2 Ontological Aspects 508 -- 30 Between Wave and Particle 513 -- 30.1 Wootters/Zurek Gedankenexperiment 513 -- 30.2 Inequality Between Predictability and Visibility 516 -- 30.3 Stochastic Complementarity Visibility/Predictability 521 -- 30.4 Beginning of an Ontological Interpretation 525 -- VIII Completeness and Determinism 527 -- 31 Einstein/Podolsky/Rosen Argument 531 -- 31.2 Argument 534 -- 31.3 Bohm's Reformulation 536 -- 31.4 Wave Function and Density Matrix 538 -- 32 Examination and Interpretation of Hidden Variable Theories 543 -- 32.1 Basic Definitions of the Hidden Variable Problem 543 -- 32.2 First Proofs 544 -- 32.3 A Corollary of the Gleason Theorem 547 -- 32.4".
catalog description "Criticisms and Problems 231 -- 14.3 Value Reproducibility and Objectification 234 -- 15 Many World Interpretation 245 -- 15.1 Presentation of the Interpretation 245 -- 15.2 Difficulties of the Many-World Interpretation 248 -- 16 Solutions Using Classical or Semiclassical Apparata 253 -- 16.1 Classicality as Superselection Rules 253 -- 16.2 Semiclassical Apparatus 256 -- 17 Decoherence 263 -- 17.1 A Recent and Yet Rich History 263 -- 17.2 Zurek's Solution 268 -- 17.3 Machida-Namiki Model 279 -- 17.4 Cini's Model 281 -- 17.5 An Easy Computer Model 285 -- 17.6 Concluding Remarks on Decoherence 289 -- 18 Operational Stochastic QM 291 -- 18.1 Fundamentals of Operational Stochastic Quantum Mechanics 291 -- 18.2 Stochastic Analysis of Non-commutativity and Complementarity 295 -- 18.3 Covariance, Conservation Laws and Measurement 297 -- 18.4".
catalog description "Detailed Exposition of a Performed Experiment 417 -- 24.4 Schrodinger Cats and Decoherence 422 -- VI Time and QM 429 -- 25 Consistent and Decohering Histories 433 -- 25.1 Consistent Histories 433 -- 25.2 Gell-Mann/Hartle's Model 435 -- 25.3 Yamada/Takagi Theorem 441 -- 26 Delayed Choice 445 -- 26.1 Theoretical Problem 445 -- 26.2 Proposed Delayed Choice Experiments 447 -- 26.3 A Delayed Choice Performed Experiment 450 -- 26.4 Lessons of the Delayed Choice 452 -- 27 Reversibility and Irreversibility 457 -- 27.1 A Spin Experiment 457 -- 27.2 Haunted Measurements 459 -- 27.3 Schrodinger Cats and Revival Behaviour 461 -- 27.4 Montecarlo Methods 463 -- VII Wave/Particle Dualism 467 -- 28 Reality of Quantum Waves and States 471 -- 28.1 De Broglie's Pilot Wave 471 -- 28.2 Non-Linear Solutions 478 -- 28.3 Empty Waves 482 -- 28.4 Meaning of the Wave Function".
catalog description "Historical Premise 1 -- 1 Short Review of Classical Canonical Formalism 9 -- I Basic Formalism and Extensions of Quantum Mechanics 13 -- 2 Where the Problems Begin 17 -- 2.1 Quantum Postulate 17 -- 2.2 Physical Consequences of the Quantum Postulate 21 -- 2.3 Examination of the Quantum Postulate 23 -- 3 Basic Quantum Mechanics 25 -- 3.1 Antecedents and First Experimental Results 25 -- 3.2 First Attempts at an Independent Formalism 29 -- 3.3 Matrix Mechanics and Observables 30 -- 3.4 Wave Mechanics 33 -- 3.5 States, Density Matrices and Projectors 40 -- 3.6 Unitary Transformations 47 -- 3.7 Distribution and Characteristic Functions 51 -- 3.8 Particles Statistics and Pauli Exclusion Principle 54 -- 3.9 Spin Theory 55 -- 3.10 Symmetries and Groups 60 -- 3.11 Scattering matrix and Propagators 62 -- 4 Relativistic Quantum Mechanics 67 -- 4.1 Poincare Group 67 -- 4.2".
catalog description "Includes bibliographical references (p. 803-932) and indexes.".
catalog description "Klein/Gordon and Dirac Equations 69 -- 4.3 Field Formalism 71 -- 4.4 Relativistic Scattering 73 -- 4.5 Localization 76 -- 5 Quantum Optics 79 -- 5.1 General Formalism 79 -- 5.2 Quantum Optics in Phase Space 85 -- 5.3 Q-Optics Experimental Apparatus and Methods 93 -- II Copenhagen Interpretation 95 -- 6 First Interpretations of Quantum Mechanics 99 -- 6.1 Schrodinger's Interpretation 99 -- 6.2 Heisenberg's First Interpretation 102 -- 6.3 Some Observations Concerning the Structure of the Theory 103 -- 6.4 Born's Probabilistic Interpretation 104 -- 6.5 Ignorance and Statistical Interpretations 105 -- 6.6 Discussion of the Ignorance and Statistical Interpretations 107 -- 7 Uncertainty Principle 117 -- 7.1 Heisenberg's Formulation 117 -- 7.2 Bohr's Interpretation of the Principle 121 -- 7.3 Heisenberg's Interpretation: The Microscope Experiment 124 -- 7.4".
catalog description "Kochen/Specker Theorem 550 -- 32.5 Other Proofs 555 -- 32.6 Interpretation of Hidden-Variable Theories 556 -- 33 Stochastic Generalization 565 -- 33.1 General Statement of the Problem 565 -- 33.2 Stochastic Quantum Mechanics in Phase Space 569 -- IX Problem of Non-Locality 579 -- 34 Initial Criticisms of the Einstein/Podolsky/Rosen Argument 583 -- 34.1 Schrodinger's Answer 583 -- 34.2 Bohr's Answer 584 -- 34.3 Bub's Formulation 585 -- 35 Bell Inequalities 589 -- 35.1 Second Bell Theorem 589 -- 35.2 Refinements of Bell Theorem 592 -- 35.3 Experimental Tests 600 -- 35.4 Loopholes 607 -- 35.5 Fine's Theorems 615 -- 35.6 Hidden-Variable Theories and Classicality 618 -- 36 Problem of Separability as Such 621 -- 36.1 Stapp Theorem 621 -- 36.2 Problem of Counterfactuals 624 -- 36.3 Relationship Between Stapp Theorem and Bell Theorem 625 -- 36.4".
catalog description "Other Proofs on the Same General Lines as Stapp's Proof 628 -- 36.5 Eberhard Theorem 633 -- 36.6 Hidden Variables and Lorentz Invariance 635 -- 36.7 Context-Dependent Entanglement 640 -- 37 More Exact Bounds for the Inequalities 643 -- 37.1 Introduction to the Problem 643 -- 37.2 Tsirelson Theorem 643 -- 37.3 Landau Theorem 645 -- 37.4 Hillery/Yurke Theorem 647 -- 37.5 Conditions for Separability 649 -- 38 Entanglement With Pure States and With Mixtures 651 -- 38.1 Pure States 651 -- 38.2 Mixed States 653 -- 38.3 Purification Procedures 657 -- 39 Generalized Bell Inequalities 659 -- 39.1 Pykacz/Santos Theorems 659.".
catalog description "Sharpness and Unsharpness: Optimal Measurements 300 -- 18.5 Self-Adjointness and Symmetry 301 -- 18.6 Informational Completeness and Measurement 302 -- 18.7 Statistical Treatment of Definition and Observation 304 -- 18.8 Weak Measurement 311 -- 18.9 Discrimination Between Non-Orthogonal States 316 -- 18.10 Stochastic Analysis of Spin 317 -- 19 Non Demolition Measurement Theory 323 -- 19.1 Brief History 323 -- 19.2 More on the Measurement Process 324 -- 19.3 Indirect Measurement 326 -- 19.4 Principles of Non-Demolition Measurement 327 -- 19.5 Evaluation of the Minimal Measurement Error 333 -- 19.6 QND-Measurement and the Uncertainty Principle 335 -- 19.7 Experimental Context 339 -- 19.8 Zeno Paradox 339 -- 19.9 Boundaries Between Apparatus and Object 347 -- 20 Information Without Interaction 353 -- 20.1 Renninger's Experiment 353 -- 20.2 Interaction-Free Interferometry".
catalog description "Statistical Formulations of the Uncertainty Principle 127 -- 7.5 Some Problems 128 -- 7.6 A New More General Formulation 131 -- 8 Complementarity Principle 135 -- 8.1 Definition of Complementarity 135 -- 8.2 Complementarity Between Conjugate Observables 137 -- 8.3 Analysis of the Wave/Particle Dualism 138 -- 8.4 Complementarity Between Localization and Dynamic Laws 139 -- 8.5 Complementarity Between Separability and Phenomenon 142 -- 8.6 Conclusions on the Copenhagen Interpretation 150 -- III First Foundations of Quantum Mechanics 151 -- 9 QM Axiomatics 155 -- 9.1 Boolean Algebra and Some Other Technical Notions 155 -- 9.2 QM Axiomatic and Quantum Logic 159 -- 9.3 Other Approaches 165 -- 9.4 Concluding Remarks on the Axiomatic 168 -- 9.5 QM Logical Calculus 170 -- 10 Hilbert Spaces and Operators 173 -- 10.1 Is a Complex Hilbert Space Necessary? 173 -- 10.2".
catalog description "Time and Energy Operators 177 -- 10.3 Position Operator 187 -- 10.4 Angle Operator 189 -- 11 Classical and Quantum Probability: An Overview 191 -- 11.1 Introduction to the Concept of Probability 191 -- 11.2 Classical Probability 194 -- 11.3 QM Probability 196 -- 11.4 Generalization to S-Dimensional Probabilities 197 -- 11.5 Gleason Theorem 199 -- 12 Geometric Phase 203 -- 12.1 Antecedents 203 -- 12.2 Berry's Contribution 205 -- 12.3 Generalization with Fiber Bundles 208 -- 12.4 Experiments and Conclusions 210 -- IV Measurement Problem 211 -- 13 Some Preliminary Notions 215 -- 13.1 Measurement's Definition 215 -- 13.2 Elements of the Measurement 215 -- 13.3 Steps of the Measurement 215 -- 13.4 Premeasurement 216 -- 13.5 Types of Measurement 217 -- 14 Von Neumann Theory and Its Refinements 219 -- 14.1 Von Neumann's Original Exposition 219 -- 14.2".
catalog extent "xxxii, 981 p. :".
catalog identifier "9810240392".
catalog issued "2000".
catalog issued "c2000.".
catalog language "eng".
catalog publisher "Singapore ; River Edge, NJ : World Scientific,".
catalog subject "QC174.12 .A85 2001".
catalog subject "Quantum theory.".
catalog tableOfContents "354 -- 20.3 More Recent Experiments 355 -- V Microphysics/Macrophysics 359 -- Schrodinger's Analysis 361 -- A Short Discussion 362 -- 21 Decoherence and Thermodynamics 365 -- 21.1 Heat Baths and Master Equation 365 -- 21.2 Baths of Harmonic Oscillators 369 -- 21.3 Damping 375 -- 21.4 Ignorance and Dynamics: Baths and Damping 378 -- 21.5 Unruh/Zurek Model 379 -- 21.6 Another Model 382 -- 21.7 Measure of Decoherence 386 -- 22 Quantum Jumps 393 -- 22.2 Interpretation of Quantum Jumps and Trajectories 400 -- 22.3 Models and Experiments: Jumps as Telegraph Signals 401 -- 23 Reductions to Classical Case 403 -- 23.1 Classical Stochastic Theories 403 -- 23.2 Ghirardi/Rimini/Weber 408 -- 23.3 Stochastic Non-Linear Jump-Theories 411 -- 24 Generation of the Cat 413 -- 24.1 How to Construct a Schrodinger Cat 413 -- 24.2 Short History 414 -- 24.3".
catalog tableOfContents "489 -- 28.5 Measurement of the Density Matrix 495 -- 28.6 Classical Waves or Quantum Waves? 501 -- 29 Indeterminacy of Quantum Waves and States 505 -- 29.1 Three-valued Logic 505 -- 29.2 Ontological Aspects 508 -- 30 Between Wave and Particle 513 -- 30.1 Wootters/Zurek Gedankenexperiment 513 -- 30.2 Inequality Between Predictability and Visibility 516 -- 30.3 Stochastic Complementarity Visibility/Predictability 521 -- 30.4 Beginning of an Ontological Interpretation 525 -- VIII Completeness and Determinism 527 -- 31 Einstein/Podolsky/Rosen Argument 531 -- 31.2 Argument 534 -- 31.3 Bohm's Reformulation 536 -- 31.4 Wave Function and Density Matrix 538 -- 32 Examination and Interpretation of Hidden Variable Theories 543 -- 32.1 Basic Definitions of the Hidden Variable Problem 543 -- 32.2 First Proofs 544 -- 32.3 A Corollary of the Gleason Theorem 547 -- 32.4".
catalog tableOfContents "Criticisms and Problems 231 -- 14.3 Value Reproducibility and Objectification 234 -- 15 Many World Interpretation 245 -- 15.1 Presentation of the Interpretation 245 -- 15.2 Difficulties of the Many-World Interpretation 248 -- 16 Solutions Using Classical or Semiclassical Apparata 253 -- 16.1 Classicality as Superselection Rules 253 -- 16.2 Semiclassical Apparatus 256 -- 17 Decoherence 263 -- 17.1 A Recent and Yet Rich History 263 -- 17.2 Zurek's Solution 268 -- 17.3 Machida-Namiki Model 279 -- 17.4 Cini's Model 281 -- 17.5 An Easy Computer Model 285 -- 17.6 Concluding Remarks on Decoherence 289 -- 18 Operational Stochastic QM 291 -- 18.1 Fundamentals of Operational Stochastic Quantum Mechanics 291 -- 18.2 Stochastic Analysis of Non-commutativity and Complementarity 295 -- 18.3 Covariance, Conservation Laws and Measurement 297 -- 18.4".
catalog tableOfContents "Detailed Exposition of a Performed Experiment 417 -- 24.4 Schrodinger Cats and Decoherence 422 -- VI Time and QM 429 -- 25 Consistent and Decohering Histories 433 -- 25.1 Consistent Histories 433 -- 25.2 Gell-Mann/Hartle's Model 435 -- 25.3 Yamada/Takagi Theorem 441 -- 26 Delayed Choice 445 -- 26.1 Theoretical Problem 445 -- 26.2 Proposed Delayed Choice Experiments 447 -- 26.3 A Delayed Choice Performed Experiment 450 -- 26.4 Lessons of the Delayed Choice 452 -- 27 Reversibility and Irreversibility 457 -- 27.1 A Spin Experiment 457 -- 27.2 Haunted Measurements 459 -- 27.3 Schrodinger Cats and Revival Behaviour 461 -- 27.4 Montecarlo Methods 463 -- VII Wave/Particle Dualism 467 -- 28 Reality of Quantum Waves and States 471 -- 28.1 De Broglie's Pilot Wave 471 -- 28.2 Non-Linear Solutions 478 -- 28.3 Empty Waves 482 -- 28.4 Meaning of the Wave Function".
catalog tableOfContents "Historical Premise 1 -- 1 Short Review of Classical Canonical Formalism 9 -- I Basic Formalism and Extensions of Quantum Mechanics 13 -- 2 Where the Problems Begin 17 -- 2.1 Quantum Postulate 17 -- 2.2 Physical Consequences of the Quantum Postulate 21 -- 2.3 Examination of the Quantum Postulate 23 -- 3 Basic Quantum Mechanics 25 -- 3.1 Antecedents and First Experimental Results 25 -- 3.2 First Attempts at an Independent Formalism 29 -- 3.3 Matrix Mechanics and Observables 30 -- 3.4 Wave Mechanics 33 -- 3.5 States, Density Matrices and Projectors 40 -- 3.6 Unitary Transformations 47 -- 3.7 Distribution and Characteristic Functions 51 -- 3.8 Particles Statistics and Pauli Exclusion Principle 54 -- 3.9 Spin Theory 55 -- 3.10 Symmetries and Groups 60 -- 3.11 Scattering matrix and Propagators 62 -- 4 Relativistic Quantum Mechanics 67 -- 4.1 Poincare Group 67 -- 4.2".
catalog tableOfContents "Klein/Gordon and Dirac Equations 69 -- 4.3 Field Formalism 71 -- 4.4 Relativistic Scattering 73 -- 4.5 Localization 76 -- 5 Quantum Optics 79 -- 5.1 General Formalism 79 -- 5.2 Quantum Optics in Phase Space 85 -- 5.3 Q-Optics Experimental Apparatus and Methods 93 -- II Copenhagen Interpretation 95 -- 6 First Interpretations of Quantum Mechanics 99 -- 6.1 Schrodinger's Interpretation 99 -- 6.2 Heisenberg's First Interpretation 102 -- 6.3 Some Observations Concerning the Structure of the Theory 103 -- 6.4 Born's Probabilistic Interpretation 104 -- 6.5 Ignorance and Statistical Interpretations 105 -- 6.6 Discussion of the Ignorance and Statistical Interpretations 107 -- 7 Uncertainty Principle 117 -- 7.1 Heisenberg's Formulation 117 -- 7.2 Bohr's Interpretation of the Principle 121 -- 7.3 Heisenberg's Interpretation: The Microscope Experiment 124 -- 7.4".
catalog tableOfContents "Kochen/Specker Theorem 550 -- 32.5 Other Proofs 555 -- 32.6 Interpretation of Hidden-Variable Theories 556 -- 33 Stochastic Generalization 565 -- 33.1 General Statement of the Problem 565 -- 33.2 Stochastic Quantum Mechanics in Phase Space 569 -- IX Problem of Non-Locality 579 -- 34 Initial Criticisms of the Einstein/Podolsky/Rosen Argument 583 -- 34.1 Schrodinger's Answer 583 -- 34.2 Bohr's Answer 584 -- 34.3 Bub's Formulation 585 -- 35 Bell Inequalities 589 -- 35.1 Second Bell Theorem 589 -- 35.2 Refinements of Bell Theorem 592 -- 35.3 Experimental Tests 600 -- 35.4 Loopholes 607 -- 35.5 Fine's Theorems 615 -- 35.6 Hidden-Variable Theories and Classicality 618 -- 36 Problem of Separability as Such 621 -- 36.1 Stapp Theorem 621 -- 36.2 Problem of Counterfactuals 624 -- 36.3 Relationship Between Stapp Theorem and Bell Theorem 625 -- 36.4".
catalog tableOfContents "Other Proofs on the Same General Lines as Stapp's Proof 628 -- 36.5 Eberhard Theorem 633 -- 36.6 Hidden Variables and Lorentz Invariance 635 -- 36.7 Context-Dependent Entanglement 640 -- 37 More Exact Bounds for the Inequalities 643 -- 37.1 Introduction to the Problem 643 -- 37.2 Tsirelson Theorem 643 -- 37.3 Landau Theorem 645 -- 37.4 Hillery/Yurke Theorem 647 -- 37.5 Conditions for Separability 649 -- 38 Entanglement With Pure States and With Mixtures 651 -- 38.1 Pure States 651 -- 38.2 Mixed States 653 -- 38.3 Purification Procedures 657 -- 39 Generalized Bell Inequalities 659 -- 39.1 Pykacz/Santos Theorems 659.".
catalog tableOfContents "Sharpness and Unsharpness: Optimal Measurements 300 -- 18.5 Self-Adjointness and Symmetry 301 -- 18.6 Informational Completeness and Measurement 302 -- 18.7 Statistical Treatment of Definition and Observation 304 -- 18.8 Weak Measurement 311 -- 18.9 Discrimination Between Non-Orthogonal States 316 -- 18.10 Stochastic Analysis of Spin 317 -- 19 Non Demolition Measurement Theory 323 -- 19.1 Brief History 323 -- 19.2 More on the Measurement Process 324 -- 19.3 Indirect Measurement 326 -- 19.4 Principles of Non-Demolition Measurement 327 -- 19.5 Evaluation of the Minimal Measurement Error 333 -- 19.6 QND-Measurement and the Uncertainty Principle 335 -- 19.7 Experimental Context 339 -- 19.8 Zeno Paradox 339 -- 19.9 Boundaries Between Apparatus and Object 347 -- 20 Information Without Interaction 353 -- 20.1 Renninger's Experiment 353 -- 20.2 Interaction-Free Interferometry".
catalog tableOfContents "Statistical Formulations of the Uncertainty Principle 127 -- 7.5 Some Problems 128 -- 7.6 A New More General Formulation 131 -- 8 Complementarity Principle 135 -- 8.1 Definition of Complementarity 135 -- 8.2 Complementarity Between Conjugate Observables 137 -- 8.3 Analysis of the Wave/Particle Dualism 138 -- 8.4 Complementarity Between Localization and Dynamic Laws 139 -- 8.5 Complementarity Between Separability and Phenomenon 142 -- 8.6 Conclusions on the Copenhagen Interpretation 150 -- III First Foundations of Quantum Mechanics 151 -- 9 QM Axiomatics 155 -- 9.1 Boolean Algebra and Some Other Technical Notions 155 -- 9.2 QM Axiomatic and Quantum Logic 159 -- 9.3 Other Approaches 165 -- 9.4 Concluding Remarks on the Axiomatic 168 -- 9.5 QM Logical Calculus 170 -- 10 Hilbert Spaces and Operators 173 -- 10.1 Is a Complex Hilbert Space Necessary? 173 -- 10.2".
catalog tableOfContents "Time and Energy Operators 177 -- 10.3 Position Operator 187 -- 10.4 Angle Operator 189 -- 11 Classical and Quantum Probability: An Overview 191 -- 11.1 Introduction to the Concept of Probability 191 -- 11.2 Classical Probability 194 -- 11.3 QM Probability 196 -- 11.4 Generalization to S-Dimensional Probabilities 197 -- 11.5 Gleason Theorem 199 -- 12 Geometric Phase 203 -- 12.1 Antecedents 203 -- 12.2 Berry's Contribution 205 -- 12.3 Generalization with Fiber Bundles 208 -- 12.4 Experiments and Conclusions 210 -- IV Measurement Problem 211 -- 13 Some Preliminary Notions 215 -- 13.1 Measurement's Definition 215 -- 13.2 Elements of the Measurement 215 -- 13.3 Steps of the Measurement 215 -- 13.4 Premeasurement 216 -- 13.5 Types of Measurement 217 -- 14 Von Neumann Theory and Its Refinements 219 -- 14.1 Von Neumann's Original Exposition 219 -- 14.2".
catalog title "Foundations and interpretation of quantum mechanics : in the light of a critical-historical analysis of the problems and of a synthesis of the results / Gennaro Auletta ; with a foreword by Giorgio Parisi.".
catalog type "text".