Dynamical Solution to the Quantum Measurement Problem, Causality, and Paradoxes of the Quantum Century

Open Systems and Information Dynamics

Volumn 7, Issue 2, 2000, Pages 101-130

  Belavkin, V P ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

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EID: 0347794945     PISSN: 12301612     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1009663822827     Document Type: Article

References (39)

1. M. Planck, Scientific Autobiography, and Other Papers, Williams & Norgate LTD, London, 1949.
2. H. Kangro, Planck's Original Papers in Quantum Physics, Taylor & Francis, 1972.
3. W. Heisenberg, Z. Phys. 33, 879 (1925).
4. M. Born, W. Heisenberg, and P. Jordan, Z. Phys. 36, 557 (1926).
5. E. Schrödinger, Quantization as an Eigenvalue Problem, Ann. Phys. 79, 361 (1926).
6. E. Schrödinger, Abhandlundgen zur Wellenmechanik, J. A. Barth, Leipzig, 1926.
7. W. Moore, Schrödinger life and thought, Cambridge University Press, 1989.
8. W. Heisenberg, On the Perceptual Content of Quantum Theoretical Kinematics and Mechanics, Z. Phys. 43, 172 (1925). English translation in: J. A. Wheeler and W. Zuṙek, eds., Quantum Theory and Measurement, Princeton University Press, 1983, pp. 62-84.
9. W. Heisenberg, On the Perceptual Content of Quantum Theoretical Kinematics and Mechanics, Z. Phys. 43, 172 (1925). English translation in: J. A. Wheeler and W. Zuṙek, eds., Quantum Theory and Measurement, Princeton University Press, 1983, pp. 62-84.
10. J. von Neumann, Mathematische Grundlagen der Quantummechanik, Springer, Berlin, 1932.
11. A. Einstein, B. Podolski, and N. Rosen, Can Quantum-Mechanical Description of Physical Reality be Considered Complete?, Phys. Rev. 47, 777 (1935).
12. N. Bohr, Phys. Rev. 48, 696 (1935).
13. E. Schrödinger, Naturwis. 23, 807, 823, 844 (1935).
14. G. Birkgoff and J. von Neumann, The Logic of Quantum Mechanics, Annals of Mathematics 37, 823 (1936).
15. G. C. Wick, A. S. Wightman, and E. P. Wigner, The Intrinsic Parity of Elementary Particles, Phys. Rev. 88, 101 (1952).
16. J. P. Jauch and C. Piron, Can Hidden Variables be Excluded in Quantum Mechanics?, Helv. Phys. Acta 36, 827 (1963).
17. V. P. Belavkin, Nondemolition Principle of Quantum Measurement Theory, Foundations of Physics 24, No. 5, 685 (1994).
18. R. L. Stratonovich and V. P. Belavkin, Dynamical Interpretation for the Quantum Measurement Projection Postulate, Int. J. of Theor. Phys. 35, No. 11, 2215 (1996).
19. G. Ludwig, J. Math. Phys. 4, 331 (1967), 9 1 (1968).
20. G. Ludwig, J. Math. Phys. 4, 331 (1967), 9 1 (1968).
21. E. B. Davies and J. Lewis, Commun. Math. Phys. 17 239 (1970).
22. E. B. Ozawa, J. Math. Phys. 25, 79 (1984).
23. V. P. Belavkin, Quantum Stochastic Calculus and Quantum Nonlinear Filtering Journal of Multivariate Analysis 42, No. 2, 171 (1992).
24. G. Accardi, A. Frigerio, and J. T. Lewis, Publ. RIMS Kyoto Univ. 18, 97 (1982).
25. K. Itô, On a Formula Concerning Stochastic Differentials, Nagoya Math. J. 3, 55 (1951).
26. V. P. Belavkin, On Quantum Itô Algebras and Their Decompositions, Lett. Math. Phys. 45, 131 (1998).
27. R. L. Hudson and K. R. Parthasarathy, Quantum Itô's Formula and Stochastic Evolution, Comm. Math. Phys. 93, 301 (1984).
28. R. L. Stratonovich, Conditional Markov Processes and Their Applications to Optimal Control, Moscow State University, 1966.
29. V. P. Belavkin, Quantum Filtering of Markov Signals with White Quantum Noise, Radiotechnika and Electronika 25, 1445 (1980).
30. V. P. Belavkin, in: Modelling and Control of Systems, ed A. Blaquière, Lecture Notes in Control and Information Sciences 121 245, Springer, 1988.
31. V. P. Belavkin and P. Staszewski, Nondemolition Observation of a Free Quantum Particle, Phys. Rev. 45, 1347 (1992).
32. V. P. Belavkin, A New Wave Equation for a Continuous Nondemolition Measurement, Phys. Lett. A 140, 355 (1989).
33. V. P. Belavkin, A Continuous Counting Observation and Posterior Quantum Dynamics, J. Phys. A: Math. Gen. 22, L1109 (1989).
34. E. Schrödinger, Sitzberg Preus Akad. Wiss. Phys.-Math. Kl. 144 (1931).
35. J. G. Cramer, Rev. Mod. Phys. 58, 647 (1986).
36. V. P. Belavkin, On the Equivalence of Quantum Stochastics and a Dirac Boundary Value Problem, and an Inductive Stochastic Limit, Submitted for publication, January 2000.
37. M. Jammer, The Conceptual Development of Quantum Mechanics, McGraw-Hill, 1966.
38. A. Pais, Niels Bohr's Times, Clarendon Press-Oxford, 1991.
39. D. C. Cassidy, Uncertainty. Werner Heisenberg, W. H. Freeman, New-York, 1992.