Bohr's correspondence principle: The cases for which it is exact

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 6, 2002, Pages 621031-621036

  Makowski, Adam J ^a   Górska, Katarzyna J ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; PHOTOELECTRICITY; WAVE EQUATIONS;

QUANTUM MOTION;

QUANTUM THEORY;

EID: 0036995055     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (53)

1. J.A. Yeazell and C.R. Stroud, Phys. Rev. Lett. 60, 494 (1988).
2. R. Lutwak, J. Holley, P.P. Chang, S. Payne, D. Kleppner, and Th. Ducas, Phys. Rev. A 56, 1443 (1997).
3. H. Ammann, R. Gray, I. Shvarchuck, and N. Christensen, Phys. Rev. Lett. 80, 4111 (1998).
4. H. Wang, X.T. Wang, P.L. Gould, and W.C. Stwalley, Phys. Rev. Lett. 78, 4173 (1997).
5. C.J. Hood, M.S. Chapman, T.W. Lynn, and H.J. Kimble, Phys. Rev. Lett. 80, 4157 (1998).
6. G. Brida, M. Genovese, M. Gramegna, C. Novero, and E. Predazzi, Phys. Lett. A 299, 121 (2002).
7. S. Habib, K. Jacobs, H. Mabuchi, R. Ryne, K. Shizume, and B. Sundaram, Phys. Rev. Lett. 88, 040402 (2002).
8. F. Cametti and C. Presilla, Phys. Rev. Lett. 89, 040403 (2002).
9. H.J. Korsch and M.V. Berry, Physica D 3, 627 (1981); T. Hogg and B.A. Huberman, Phys. Rev. Lett. 48, 711 (1982).
10. H.J. Korsch and M.V. Berry, Physica D 3, 627 (1981); T. Hogg and B.A. Huberman, Phys. Rev. Lett. 48, 711 (1982).
11. B. Gao, Phys. Rev. Lett. 83, 4225 (1999).
12. L.S. Brown, Am. J. Phys. 41, 525 (1973).
13. C. Eltschka, H. Friedrich, and M.J. Moritz, Phys. Rev. Lett. 86, 2693 (2001).
14. C. Boisseau, E. Audouard, and J. Vigué, Phys. Rev. Lett. 86, 2694 (2001).
15. P. Ehrenfest, Z. Phys. 45, 455 (1927).
16. L. Ballentine, Quantum Mechanics (Prentice Hall, Englewood Cliffs, NJ, 1990), pp. 294-305.
17. P.G. Silverstrov and C.W.J. Beenakker, Phys. Rev. E 65, 035208 (2002).
18. Go. Torres-Vega and J.H. Frederick, J. Chem. Plays. 93, 8862 (1990).
19. E. Wigner, Phys. Rev. 40, 749 (1932).
20. K. Husimi, Proc. Phys. Math. Soc. Jpn. 22, 264 (1940).
21. W.H. Zurek, Phys. Today 10, 36 (1991).
22. J. Emerson and L.E. Ballentine, Phys. Rev. E 64, 026217 (2001).
23. J. Ford and G. Mantica, Am. J. Phys. 60, 1086 (1992).
24. J. Ford, G. Mantica, and G.H. Ristow, Physica D 50, 493 (1991).
25. A. Norcliffe in Case Studies in Atomic Physics IV, edited by E.W. McDaniel and M.R.C. McDowell (North-Holland, Amsterdam, 1975), p. 1.
26. N. Rosen, Am. J. Phys. 32, 377 (1964).
27. Yu.Ya. Lembra, Izv. Vyssh. Uchebn. Zaved. Fiz. 7, 158 (1968).
28. D.B. Berkowitz and P.D. Skiff, Am. J. Phys. 40, 1625 (1972).
29. J.O. Hirschfelder, A.C. Christoph, and W.E. Palke, J. Chem. Phys. 61, 5435 (1974).
30. P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 1993), Sec. 6.3.
31. A.J. Makowski and S. Konkel, Phys. Rev. A 58, 4975 (1998).
32. A.J. Makowski, Phys. Lett. A 258, 83 (1999).
33. A. Mostafazadeh, Nucl. Phys. B 509, 529 (1998).
34. A. Mostafazadeh, Phys. Rev. A 60, 5144 (1999); A.J. Makowski and S. Konkel, ibid. 60, 5146 (1999).
35. A. Mostafazadeh, Phys. Rev. A 60, 5144 (1999); A.J. Makowski and S. Konkel, ibid. 60, 5146 (1999).
36. A.J. Makowski, Phys. Rev. A 65, 032103 (2002).
37. H.R. Sadeghpour, J.L. Bohn, M.J. Cavagnero, B.D. Esry, I.I. Fabrikant, J.H. Macek, and A.R.P. Rau, J. Phys. B 33, R93 (2000).
38. M.J. Moritz, C. Eltschka, and H. Friedrich, Phys. Rev. A 63, 042102 (2001).
39. I.H. Deutsch and P.S. Jessen, Phys. Rev. A 57, 1972 (1998).
40. H. Ammann, R. Gray, I. Shvarchuk, and N. Christensen, Phys. Rev. Lett. 80, 4111 (1998).
41. T. Kobayashi and T. Shimbori, Phys. Rev. A 65, 042108 (2002).
42. S. Flügge und H. Marschall, Rechenmethoden der Quantentheorie Dargestellt in Aufgaben und Lösungen (Springer-Verlag, Berlin, 1952).
43. T. Shimbori and T. Kobayashi, J. Phys. A 33, 7637 (2000).
44. T. Kobayashi and T. Shimbori, Phys. Rev. E 63, 056101 (2001).
45. C.J. Joachain, Quantum Collision Theory (North-Holland, Amsterdam, 1983).
46. N.F. Johnson, J. Phys.: Condens. Matter 7, 965 (1995).
47. S.A. Coon and B.R. Holstein, Am. J. Phys. 70, 513 (2002).
48. Y. Zarmi, Am. J. Phys. 70, 446 (2002).
49. T. Shimbori and T. Kobayashi, Nuovo Cimento B 115, 325 (2000).
50. K.W. Ford and D.L. Hill, Ann. Phys, (N.Y.) 7, 239 (1959).
51. G. Barton, Ann. Phys. (N.Y.) 166, 322 (1986).
52. See Section 2.6.1 in Ref. [29].
53. See page 226 in Ref. [29].