Dynamical quantization and classical limit

Canadian Journal of Physics

Volumn 81, Issue 4, 2003, Pages 663-673

  Bolivar, A O ^a,b  

^a Grupo Mario Schonberg de EFMF   (Brazil)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; STATISTICAL METHODS; THEOREM PROVING;

DYNAMICAL QUANTIZATION; NEWTONIAN PHYSICS; QUANTUM PHYSICS;

QUANTUM THEORY;

EID: 0142205202     PISSN: 00084204     EISSN: None     Source Type: Journal    
DOI: 10.1139/P02-121     Document Type: Article

References (58)

1. S. Hayakawa. Progr. Theor. Phys. Suppl. 532 (1965).
2. M. Surdin. Int. J. Theor. Phys. 4, 117 (1971).
3. L.S.F. Olavo. Physica A, 262, 197 (1999).
4. K. Dechoum, H.M. França, and C.P. Malta. Phys. Lett. A, 248, 93 (1998).
5. K. Dechoum and H.M. França. Found. Phys. 25, 1599 (1995); Erratum, 26, 1573 (1996).
6. K. Dechoum and H.M. França. Found. Phys. 25, 1599 (1995); Erratum, 26, 1573 (1996).
7. A.O. Bolivar. Phys. Rev. A, At. Mol. Opt. Phys. 58, 4330 (1998).
8. A.O. Bolivar. Random Operators Stochastic Eqs. 9(3), 275 (2001).
9. A.O. Bolivar. Physica A, 301, 219 (2001).
10. A.O. Bolivar. J. Math. Phys. 42, 4020 (2001).
11. L.E. Ballentine, Y. Yang, and J.P. Zibin. Phys. Rev. A, At. Mol. Opt. Phys. 50, 2854 (1994).
12. G. Gerlich. Physica, 69, 4586 (1973); W.-H. Steeb. Physica A, 95, 181 (1979).
13. G. Gerlich. Physica, 69, 4586 (1973); W.-H. Steeb. Physica A, 95, 181 (1979).
14. P.A.M. Dirac. The principles of quantum mechanics. Clarendon, London. 1930.
15. P.A.M. Dirac. Can. J. Math. 2, 129 (1950).
16. P.A.M. Dirac. Lectures on quantum theory. Yeshiva University, New York. 1964.
17. G. Rosen. Formulations of classical and quantum dynamical theory. Academic Press, New York. 1969.
18. I.K. Edwards. Am. J. Phys. 47, 153 (1979).
19. N.A. Lemos. Phys. Rev. D, Part. Fields, 24, 1036 (1981).
20. N.A. Lemos. Am. J. Phys. 49, 1181 (1981).
21. W. Pauli. General principles of quantum mechanics. Springer-Verlag, Berlin. 1980.
22. B. d'Espagnat. Veiled reality. Addison-Wesley, Mass. 1995.
23. F.J. Kennedy, Jr. and E.H. Kerner. Am. J. Phys. 33, 463 (1965).
24. A.P. Balachandran, T.R. Govindarajan, and B. Vijayalakshmi. Phys. Rev. D, Part. Fields, 18, 1850 (1978).
25. G. Marmo and E.J. Saletan. Nuovo Cimento Soc. Ital. Fis. B, 40, 67 (1977).
26. V.V. Dodonov, V.I. Man'ko, and V.D. Skarzhinsky. Nuovo Cimento Soc. Ital. Fis. B, 69, 185 (1982).
27. M. Henneaux. Ann. Phys. 140, 45 (1982).
28. S. Hojman and L.F. Urrutia. J. Math. Phys. 22, 1896 (1981).
29. M. Henneaux and L.C. Shepley. J. Math. Phys. 23, 2101 (1982).
30. S. Hojman and R. Montemayor. Hadronic J. 3, 1644 (1980).
31. B. Podolsky. Phys. Rev. 32, 812 (1928).
32. R.P. Feynman. Rev. Mod. Phys. 20, 367 (1948).
33. S.S. Schweber. J. Math. Phys. 3, 831 (1962).
34. R.L. Monaco, R.E. Lagos, and W.A. Rodrigues, Jr. Found. Phys. Lett. 8, 365 (1995).
35. M.K. Ali. Can. J. Phys. 74, 255 (1996).
36. L.S. Schulman. Techniques and applications of path integration. Wiley, New York. 1981.
37. L. Cohen. J. Math. Phys. 11, 3296 (1970).
38. E.H. Kerner and W.G. Sutcliffe. J. Math. Phys. 11, 391 (1970).
39. F.J. Testa. J. Math. Phys. 12, 1471 (1971).
40. I.W. Mayes and J.S. Dowker. J. Math. Phys. 14, 434 (1973).
41. J.S. Dowker. J. Math. Phys. 17, 1873 (1976).
42. T.G. Dewey. Phys. Rev. A, At. Mol. Opt. Phys. 42, 32 (1990).
43. K.-H. Yeon, D.-F. Walls, C.I. Um, T.F. George, and L.N. Pandey. Phys. Rev. A, At. Mol. Opt. Phys. 58, 1765 (1998).
44. A.O. Caldeira and A.J. Leggett. Physica A, 121, 587 (1983).
45. A.O. Caldeira, H.A. Cerdeira, and R. Ramaswamy. Phys. Rev. A, Gen. Phys. 40, 3438 (1989).
46. W.J. Munro and C.W. Gardiner. Phys. Rev. A, At. Mol. Opt. Phys. 53, 2633 (1996).
47. C. Presilla, R. Onofrio, and M. Patriarca. J. Phys. A, 30, 7385 (1997).
48. A. Tameshitit and J.E. Sipe. Phys. Rev. Lett. 77, 2600 (1996).
49. M. Patriarca. Nuovo Cimento Soc. Ital. Phys. B, 111, 61 (1996).
50. C. Morais Smith and A.O. Caldeira. Phys. Rev. A, Gen Phys. 36, 3509 (1987); Phys. Rev. A, At. Mol. Opt. Phys. 41, 3103 (1990).
51. C. Morais Smith and A.O. Caldeira. Phys. Rev. A, Gen Phys. 36, 3509 (1987); Phys. Rev. A, At. Mol. Opt. Phys. 41, 3103 (1990).
52. V. Hakim and V. Ambegaokar. Phys. Rev. A, Gen. Phys. 32, 423 (1985).
53. H. Grabert, P. Schramm, and G.-L. Ingold. Phys. Rep. 168, 115 (1988).
54. E.P. Wigner. Phys. Rev. 40, 749 (1932).
55. A.A. Grib and W.A. Rodrigues, Jr. Nonlocality in quantum physics. Plenum, New York. 1998.
56. G. Gray, G. Karl, and V.A. Novikov. Ann. Phys. 251, 1 (1996); Am. J. Phys. 67, 959 (1999).
57. G. Gray, G. Karl, and V.A. Novikov. Ann. Phys. 251, 1 (1996); Am. J. Phys. 67, 959 (1999).
58. H.-J. Wagner. Zeit. Phys. B, 261 (1994).