On the experimental verification of the Wheeler-Dewitt equation

Modern Physics Letters A

Volumn 12, Issue 28, 1997, Pages 2057-2064

  Pollock, M D ^a,b  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001062721     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732397002107     Document Type: Article

References (41)

1. J. A. Wheeler, in Battelle Rencontres: 1967 Lectures in Mathematics and Physics, eds. C. M. DeWitt and J. A. Wheeler (Benjamin, 1968), p. 242; B. S. DeWitt, Phys. Rev. 160, 1113 (1967).
2. J. A. Wheeler, in Battelle Rencontres: 1967 Lectures in Mathematics and Physics, eds. C. M. DeWitt and J. A. Wheeler (Benjamin, 1968), p. 242; B. S. DeWitt, Phys. Rev. 160, 1113 (1967).
3. A. Friedmann, Z. Phys. 10, 377 (1922); 21, 326 (1924); H. P. Robertson, Proc. Natl. Acad. Sci. U.S.A. 15, 822 (1929); Rev. Mod. Phys. 5, 62 (1933); O. Heckmann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 126 (1931); 97 (1932).
4. A. Friedmann, Z. Phys. 10, 377 (1922); 21, 326 (1924); H. P. Robertson, Proc. Natl. Acad. Sci. U.S.A. 15, 822 (1929); Rev. Mod. Phys. 5, 62 (1933); O. Heckmann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 126 (1931); 97 (1932).
5. A. Friedmann, Z. Phys. 10, 377 (1922); 21, 326 (1924); H. P. Robertson, Proc. Natl. Acad. Sci. U.S.A. 15, 822 (1929); Rev. Mod. Phys. 5, 62 (1933); O. Heckmann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 126 (1931); 97 (1932).
6. A. Friedmann, Z. Phys. 10, 377 (1922); 21, 326 (1924); H. P. Robertson, Proc. Natl. Acad. Sci. U.S.A. 15, 822 (1929); Rev. Mod. Phys. 5, 62 (1933); O. Heckmann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 126 (1931); 97 (1932).
7. A. Friedmann, Z. Phys. 10, 377 (1922); 21, 326 (1924); H. P. Robertson, Proc. Natl. Acad. Sci. U.S.A. 15, 822 (1929); Rev. Mod. Phys. 5, 62 (1933); O. Heckmann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 126 (1931); 97 (1932).
8. A. Friedmann, Z. Phys. 10, 377 (1922); 21, 326 (1924); H. P. Robertson, Proc. Natl. Acad. Sci. U.S.A. 15, 822 (1929); Rev. Mod. Phys. 5, 62 (1933); O. Heckmann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 126 (1931); 97 (1932).
9. M. D. Pollock, Int. J. Mod. Phys. A7, 4149 (1992).
10. M. D. Pollock, Int. J. Mod. Phys. A7, 6421 (1992).
11. M. D. Pollock, Int. J. Mod. Phys. D3, 569 (1994).
12. M. D. Pollock, Int. J. Mod. Phys. D4, 305 (1995).
13. M. D. Pollock, Mod. Phys. Lett. A10, 539 (1995); Int. J. Mod. Phys. D5, 193 (1996).
14. M. D. Pollock, Mod. Phys. Lett. A10, 539 (1995); Int. J. Mod. Phys. D5, 193 (1996).
15. D. J. Gross, J. A. Harvey, E. Martinec and R. Rohm, Phys. Rev. Lett. 54, 502 (1985); Nucl. Phys. B256, 253 (1985); B267, 75 (1986).
16. D. J. Gross, J. A. Harvey, E. Martinec and R. Rohm, Phys. Rev. Lett. 54, 502 (1985); Nucl. Phys. B256, 253 (1985); B267, 75 (1986).
17. D. J. Gross, J. A. Harvey, E. Martinec and R. Rohm, Phys. Rev. Lett. 54, 502 (1985); Nucl. Phys. B256, 253 (1985); B267, 75 (1986).
18. G. T. Horowitz, Phys. Rev. D31, 1169 (1985).
19. L. D. Landau and E. M. Lifschitz, The Classical Theory of Fields (Pergamon Press, 1975), 4th revised edition, pp. 251-252.
20. R. Colella, A. W. Overhauser and S. A. Werner, Phys. Rev. Lett. 34, 1472 (1975); D. M. Greenberger and A. W. Overhauser, Rev. Mod. Phys. 51, 43 (1979).
21. R. Colella, A. W. Overhauser and S. A. Werner, Phys. Rev. Lett. 34, 1472 (1975); D. M. Greenberger and A. W. Overhauser, Rev. Mod. Phys. 51, 43 (1979).
22. M. Ostrogradski, Mém. Acad. Imp. Sci. St. Petersbourg. Série VI, 385 (1850); E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge Univ. Press, 1927), 3rd edition, pp. 265-267.
23. M. Ostrogradski, Mém. Acad. Imp. Sci. St. Petersbourg. Série VI, 385 (1850); E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge Univ. Press, 1927), 3rd edition, pp. 265-267.
24. E. Noether, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 235 (1918); H. Goldstein, Classical Mechanics (Addison-Wesley, 1980), 2nd edition, Chap. 12.
25. E. Noether, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 235 (1918); H. Goldstein, Classical Mechanics (Addison-Wesley, 1980), 2nd edition, Chap. 12.
26. R. Arnowitt, S. Deser and C. W. Misner, in Gravitation: An Introduction to Current Research, ed. L. Witten (Wiley, 1962), p. 227.
27. E. Wigner, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 375 (1927).
28. E. Schrödinger, Ann. Phys. 81, 109 (1926).
29. M. Born, Z. Phys. 37, 863 (1926); 38, 803 (1926).
30. M. Born, Z. Phys. 37, 863 (1926); 38, 803 (1926).
31. P. A. M. Dirac, Proc. R. Soc. London A117, 610 (1928); A118, 351 (1928).
32. P. A. M. Dirac, Proc. R. Soc. London A117, 610 (1928); A118, 351 (1928).
33. J. von Neumann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 245 (1927); Mathematische Grundlagen der Quantenmechanik (Springer-Verlag, 1932), translated by R. T. Beyer as Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, 1955).
34. J. von Neumann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 245 (1927); Mathematische Grundlagen der Quantenmechanik (Springer-Verlag, 1932), translated by R. T. Beyer as Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, 1955).
35. J. von Neumann, Nachr. Kgl. Ges. Wiss. Göttingen, Math.-Phys. Kl. 245 (1927); Mathematische Grundlagen der Quantenmechanik (Springer-Verlag, 1932), translated by R. T. Beyer as Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, 1955).
36. A. H. Compton and A. W. Simon, Phys. Rev. 26, 289 (1925).
37. N. Bohr, H. A. Kramers and J. C. Slater, Phil. Mag. 47, 785 (1924).
38. R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948).
39. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, 1965).
40. M. D. Pollock, Mod. Phys. Lett. A12, 987 (1997).
41. M. D. Pollock, Mod. Phys. Lett. A12, 1127 (1997).