Inconsistency of quantum - Classical dynamics, and what it implies

Foundations of Physics

Volumn 36, Issue 1, 2006, Pages 102-111

  Terno, Daniel R ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

Classical limit; Measurement; Quantum gravity

Indexed keywords

EID: 33745213364     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10701-005-9007-y     Document Type: Article

References (37)

1. C. Möller, in Les Théories Relativistes de la Gravitation, (Centre National de la Recherche Scientifique, Paris, 1962) p. 15;
2. L. Rosenfeld, Nucl. Phys. 40, 353 (1963);
3. A. Peres, Nucl. Phys. 48, 622 (1963);
4. B. S. DeWitt, in General Relativity: An Einstein Centenary Survey, S. W. Hawking and W. Israel eds. (Cambridge University Press, Cambridge, 1979) p. 680;
5. W. Boucher and J. Traschen, Phys. Rev. D 37, 3522 (1988).
6. J. N. Islam, An Introduction to Mathematical Cosmology (Cambridge University Press, Cambridge, 2002);
7. M. Ahmed, S. Dodelson, P. B. Greene, R. Sorkin, e-print astro-ph/0209274.
8. P. Pechukas, Phys. Rev. 181, 166 (1969);
9. I. V. Aleksandrov, Z. Naturforsch. 36A, 902 (1981).
10. B. J. Schwartz, E. R. Bittner, O. V. Prezhdo, and P. J. Rossky, J. Chem. Phys. 104, 5942 (1996);
11. K. Ando and M. J. Santer, J. Chem. Phys. 118, 10399 (2003).
12. N. Bohr, Nature 121, 78, 580 (1928);
13. N. Bohr, in Albert Einstein: Philosopher-Scientist, P. A. Schilpp, ed. (1949) p. 199.
14. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).
15. O. Hay and A. Peres, Phys. Rev. A 58, 116 (1998).
16. L. Diósi, N. Gisin, and W. T. Struntz, Phys. Rev. A 61, 022108 (2000).
17. L. L. Salcedo, Phys. Rev. A 54, 3657 (1996);
18. J. Caro and L. L. Salcedo, Phys. Rev. A 60, 842 (1999).
19. A. Peres and D. R. Terno, Phys. Rev. A 63, 022101 (2001).
20. B. O. Koopman, Proc. Nat. Acad. Sci. 17, 315 (1931).
21. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1995), p. 312.
22. D. Mauro, Topics in Koopman - von Neumann Theory, Ph.D.-thesis (Università di Trieste, 2002); e-print quant-ph/0301172.
23. M. Reed and B. Simon, Methods of Modern Mathematical Physics, vol. 1, Functional Analysis (Academic, New York, 1972);
24. vol. 2 Fourier Analysis, Self-Adjointness (Academic, New York, 1975).
25. E. B. Davies, Quantum Dynamics of Open Systems (Academic, New York, 1976);
26. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982);
27. K. Kraus, States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983).
28. W. H. Zurek, Rev. Mod Phys. 75, 715 (2003).
29. A. Peres, Phys. Rev. A 61, 022116 (2001).
30. P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics (Springer, Berlin, 1995), Chap. VI.3.
31. L. E. Ballentine and S. M. McRae, Phys. Rev. A 58, 1799 (1998).
32. R. M. Wald, General Relativity (University of Chicago, Chicago, 1984);
33. A. Ashtekar, J. Lewandowski, Class. Quant. Grav. 21 (2004) R53;
34. T. Thiemann, Introduction to Modern Canonical Quantum General Relativity, e-print gr-qc/0110034 (2001).
35. A. D. Helfer, Rep. Prog. Phys. 66, 943 (2003).
36. R. Brout, S. Massar, R. Parentani, P.h. Spindel, Phys. Rep. 260, 329 (1995);
37. V. P. Frolov and I. D. Novikov, Black Hole Physics (Kluwer Academic, Dordrecht, 1998).