Relational time in generally covariant quantum systems: Four models

Physical Review D

Volumn 63, Issue 10, 2001, Pages

  Gambini, Rodolfo ^a   Porto, Rafaël A ^a  

^a Institute Cle fi'Sica   (Uruguay)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOTION; PHYSICS; QUANTUM MECHANICS; TIME;

EID: 0034895143     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.105014     Document Type: Article

References (24)

1. C. Rovelli, Phys. Rev. D 43, 442 (1991).
2. K. Kuchar, in Proceedings of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, edited by G. Kunstatter, D. Vincent, and J. Williams (World Scientific, Singapore, 1992).
3. P. Hajicek, J. Math. Phys. 36, 4612 (1995).
4. J. Hartle, Class. Quantum Grav. 13, 361 (1996).
5. M. Montesinos, C. Rovelli, and T. Thiemann, Phys. Rev. D 60, 044009 (1999).
6. M. Montesinos, Gen. Relativ. Gravit. 33, l (2001).
7. Lectures on Non-pertiirbative Canonical Gravity (World Scientific, Singapore, 1991).
8. A. Ashtekar and R. Täte, J. Math. Phys. 35, 6434 (1994).
9. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, and T. Thiemann, J. Math. Phys. 36, 6456 (1995).
10. D. Giulini and D. Marolf, Class. Quantum Grav. 16, 2479 (1999).
11. J. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949).
12. M. Kontsevich, "Deformation quantization of Poisson manifolds," q-alg/9709040, 1997.
13. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hubert Space (Frederick Ungar, New York, 1961).
14. C. Rovelli, Phys. Rev. D 42, 2638 (1990).
15. N. Grot, C. Rovelli, and R. Täte, Phys. Rev. A 54, 4676 (1996).
16. M. Reed and B. Simon, Methods of Modem Mathematical Physics (Academic, New York, 1975), Vol. II.
17. J. Weidmann, Linear Operators in Hilbert Spaces (Springer Verlag, New York, 1980).
18. fl8] H. Fechbach and F. Villars, Rev. Mod. Phys. 30, 24 (1958).
19. T. D. Newton and E. P. Wigner, Rev. Mod. Phys. 21, 400 (1949).
20. D. Marolf, Class. Quantum Grav. 12, 2469 (1995).
21. Conceptual Problems of Quantum Gravity, edited by A. Ashtekar and J. Stachel (Birkhauser, Boston, 1991).
22. J. Louko and C. Rovelli, J. Math. Phys. 41, 132 (2000).
23. J. B. Barbour and B. Bertotti, Nuovo Cimento Soc. Ital. Fis., B 38, l (1977).
24. C. Rovelli, Phys. Rev. D 44, 1339 (1991).