Consistent Quantum Theory

1. Introduction 2. Wave functions 3. Linear algebra in Dirac notation 4. Physical properties 5. Probabilities and physical variables 6. Composite systems and tensor products 7. Unitary dynamics 8. Stochastic histories 9. The Born rule 10. Consistent histories 11. Checking consistency 12. Examples of consistent families 13. Quantum interference 14. Dependent (contextual) events 15. Density matrices 16. Quantum reasoning 17. Measurements I 18. Measurements II 19. Coins and counterfactuals 20. Delayed choice paradox 21. Indirect measurement paradox 22. Incompatibility paradoxes 23. Singlet state correlations 24. EPR paradox and Bell inequalities 25. Hardy's paradox 26. Decoherence and the classical limit 27. Quantum theory and reality Bibliography.

[1]  M. Born Zur Quantenmechanik der Stoßvorgänge , 1926 .

[2]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[3]  J. Neumann,et al.  The Logic of Quantum Mechanics , 1936 .

[4]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[5]  G. Lüders Über die Zustandsänderung durch den Meßprozeß , 1950 .

[6]  D. Bohm A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II , 1952 .

[7]  M. Renninger Messungen ohne Störung des Meßobjekts , 1960 .

[8]  J. Bell On the Einstein-Podolsky-Rosen paradox , 1964 .

[9]  J. Bell On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

[10]  E. Specker,et al.  The Problem of Hidden Variables in Quantum Mechanics , 1967 .

[11]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[12]  R. Leighton,et al.  Feynman Lectures on Physics , 1971 .

[13]  N. Mermin Bringing Home the Atomic World: Quantum Mysteries for Anybody. , 1981 .

[14]  R. Dicke,et al.  Interaction‐free quantum measurements: A paradox? , 1981 .

[15]  D. Greenberger The neutron interferometer as a device for illustrating the strange behavior of quantum systems , 1983 .

[16]  B. D'espagnat,et al.  Nonseparability and the tentative descriptions of reality , 1984 .

[17]  N. David Mermin,et al.  Is the Moon There When Nobody Looks? Reality and the Quantum Theory , 1985 .

[18]  R. Griffiths Correlations in separated quantum systems: A consistent history analysis of the EPR problem , 1987 .

[19]  Walther,et al.  Delayed-choice experiments in quantum interference. , 1987, Physical review. A, General physics.

[20]  A. Fine,et al.  The Shaky Game: Einstein, Realism and the Quantum Theory , 1987, Dialogue.

[21]  B. D'espagnat,et al.  Reality and the Physicist , 1989 .

[22]  S. Gudder Realism in quantum mechanics , 1989 .

[23]  A. Peres Incompatible results of quantum measurements , 1990 .

[24]  Abner Shimony,et al.  An Exposition of Bell’s Theorem , 1990 .

[25]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[26]  Y. Aharonov,et al.  Complete description of a quantum system at a given time , 1991 .

[27]  R. Omnes Consistent interpretations of quantum mechanics , 1992 .

[28]  Berthold-Georg Englert,et al.  Surrealistic Bohm Trajectories , 1992 .

[29]  Lucien Hardy,et al.  On the existence of empty waves in quantum theory , 1992 .

[30]  L. Hardy,et al.  Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories. , 1992, Physical review letters.

[31]  Gell-Mann,et al.  Classical equations for quantum systems. , 1992, Physical review. D, Particles and fields.

[32]  C. J. Isham,et al.  Quantum logic and the histories approach to quantum theory , 1993 .

[33]  L. Vaidman,et al.  Quantum mechanical interaction-free measurements , 1993, hep-th/9305002.

[34]  Brun Quasiclassical equations of motion for nonlinear Brownian systems. , 1993, Physical review. D, Particles and fields.

[35]  Simon Saunders,et al.  What is the Problem of Measurement , 1994 .

[36]  T. Brun Applications of the Decoherence Formalism , 1994 .

[37]  N. David Mermin,et al.  Quantum mysteries refined , 1994 .

[38]  R. Omnes Consistent Histories and the Interpretation of Quantum Mechanics , 1995 .

[39]  McElwaine Approximate and exact consistency of histories. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[40]  D. Meyer On the absence of homogeneous scalar unitary cellular automata , 1996, quant-ph/9604011.

[41]  Adrian Kent,et al.  On the consistent histories approach to quantum mechanics , 1996 .

[42]  Niels Bohr,et al.  Discussion with Einstein on Epistemological Problems in Atomic Physics , 1996 .

[43]  Griffiths Consistent histories and quantum reasoning. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[44]  I. Stamatescu,et al.  Decoherence and the Appearance of a Classical World in Quantum Theory , 1996 .

[45]  Robert B. Griffiths Choice of Consistent Family, and Quantum Incompatibility , 1998 .

[46]  Consistent Histories and Quantum Delayed Choice , 1998, quant-ph/9810016.

[47]  Robert B. Griffiths Consistent quantum counterfactuals , 1999 .

[48]  F. Gieres Mathematical surprises and Dirac's formalism in quantum mechanics , 1999, quant-ph/9907069.

[49]  Bohmian mechanics and consistent histories , 1999, quant-ph/9902059.

[50]  Consistent histories, quantum truth functionals, and hidden variables , 1999, quant-ph/9909049.

[51]  Consistent Quantum Realism: A Reply to Bassi and Ghirardi , 2000, quant-ph/0001093.

[52]  J. Paz,et al.  Course 8: Environment-Induced Decoherence and the Transition from Quantum to Classical , 2000, quant-ph/0010011.