Quantization of non-Hamiltonian physical systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 6, 1998, Pages 4330-4335

  Bolivar, A O ^a  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000233909     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.4330     Document Type: Article

References (48)

1. P. A. M. Dirac, Proc. R. Soc. London, Ser. A 109, 642 (1926).PRLAAZ
2. P. A. M. Dirac, Can. J. Math. 2, 129 (1950).CJMAAB
3. A. Ashtekar, Commun. Math. Phys. 71, 59 (1980).CMPHAY
4. J. R. Shewell, Am. J. Phys. 27, 16 (1959).AJPIAS
5. A. L. Lahiri, G. Ghosh, and T. K. Blar, Phys. Lett. A 238, 239 (1998).PYLAAG
6. F. J. Kennedy, Jr. and E. H. Kerner, Am. J. Phys. 33, 465 (1965); AJPIAS
7. D. G. Currie and E. J. Saletan, J. Math. Phys. 7, 967 (1966).JMAPAQ
8. I. K. Edwards, Am. J. Phys. 47, 153 (1979).AJPIAS
9. N. A. Lemos, Phys. Rev. D 24, 1036 (1981).PRVDAQ
10. J. Ford, G. Mantica, and G. H. Ristow, Physica D 50, 493 (1991); PDNPDT
11. J. Ford and G. Mantica, Am. J. Phys. 60, 1086 (1992).AJPIAS
12. Quantum Theory and Measurement, edited by J. A. Wheeler and H. W. Zurek (Princeton University Press, Princeton, 1983);
13. P. R. Holland, The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics (Cambridge University Press, Cambridge, 1993).
14. P. Caldirola, Nuovo Cimento 18, 393 (1941).NUCIAD
15. E. Kanai, Prog. Theor. Phys. 3, 440 (1948).PTPKAV
16. W. E. Brittin, Phys. Rev. 77, 396 (1950).PHRVAO
17. I. R. Senitzky, Phys. Rev. 119, 670 (1960).PHRVAO
18. E. H. Kerner, Can. J. Phys. 36, 371 (1958); CJPHAD
19. K. W. H. Stevens, Proc. Phys. Soc. London 62, 1027 (1958).PPSOAU
20. H. Dekker, Z. Phys. B 21, 295 (1975); ZPBBDJ
21. H. DekkerPhysica A 95, 311 (1979).
22. M. Razavy, Z. Phys. B 26, 201 (1977).ZPBBDJ
23. V. E. Tarasov, Theor. Math. Phys. 100, 1100 (1994).TMPHAH
24. P. Havas, Bull. Am. Phys. Soc. 1, 337 (1956); BAPSA6
25. N. A. Lemos, Phys. Rev. D 24, 2338 (1981); PRVDAQ
26. S. Srivastava, Vishwamittar, and I. S. Minhas, J. Math. Phys. 32, 1510 (1991).JMAPAQ
27. G. W. Ford, M. Kac, and P. Mazur, J. Math. Phys. 6, 504 (1965).JMAPAQ
28. M. D. Kostin, J. Chem. Phys. 57, 3589 (1972).JCPSA6
29. I. R. Svin’in, Theor. Math. Phys. 27, 478 (1976); TMPHAH
30. B. Yurke, Am. J. Phys. 54, 1133 (1986); AJPIAS
31. E. C. Harris, Phys. Rev. A 42, 3685 (1990).PLRAAN
32. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).PHYADX
33. M. C. Nemes and A. F. R. de Toledo Piza, Rev. Bras. Fis. 7, 261 (1977).RBFSA3
34. G. Ghosh and R. W. Heisse, Phys. Rev. A 24, 1621 (1981).PLRAAN
35. A. P. Polykronakos and R. Tzani, Phys. Lett. B 302, 255 (1993).PYLBAJ
36. E. Schroedinger, Ann. Phys. (Leipzig) 79, 361 (1926).ANPYA2
37. S. Pal, Phys. Rev. A 39, 3825 (1989).PLRAAN
38. B. K. Skagerstam, J. Math. Phys. 18, 308 (1977).JMAPAQ
39. K. Yasue, Ann. Phys. (N.Y.) 114, 479 (1978).APNYA6
40. E. Nelson, Phys. Rev. 150, 1079 (1966).PHRVAO
41. J. Geicke, J. Phys. A 22, 1017 (1989).JPHAC5
42. C. P. Enz, Found. Phys. 24, 1281 (1994).FNDPA4
43. R. Tzani, Nucl. Phys. B 430, 695 (1994).NUPBBO
44. L. S. F. Olavo, Physica A (to be published).
45. H. Risken, The Fokker-Planck Equation: Methods of Solution and Applications (Springer-Verlag, Berlin, 1984).
46. M. Patriarca, Nuovo Cimento B 111, 161 (1996); NIFBAP
47. C. Presilla, R. Onofrio, and M. Patriarca, J. Phys. A 30, 7385 (1997).JPHAC5
48. R. Zwanzig, J. Stat. Phys. 9, 215 (1973). JSTPBS