Periodic-orbit spectra of hydrogen and helium

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 54, Issue 3, 1996, Pages 1922-1935

  Qiu, Yanghui ^a,b   Müller, Jörg ^a,b   Burgdörfer, Joachim ^a,b  

^a UNIVERSITY OF TENNESSEE   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001115186     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.1922     Document Type: Article

References (67)

1. M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971).
2. M. V. Berry and M. Tabor, Proc. R. Soc. London Ser. A 349, 101 (1976).
3. J. Phys. A 3, 371 (1977).
4. W. H. Miller, J. Chem. Phys. 63, 996 (1975).
5. R. Balian and C. Bloch, Ann. Phys. (N.Y.) 69, 76 (1972).
6. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
7. M. Brack and S. Jain, Phys. Rev. A 51, 3462 (1995).
8. J. M. Mao, J. Shaw and J. B. Delos, J. Stat. Phys. 68, 51 (1992).
9. O. Bohigas, in Chaos and Quantum Physics, edited by M. J. Giannoni, A. Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991), p. 87.
10. R. Artuso, E. Aurell and P. Cvitanović, Nonlinearity 3, 325 (1990).
11. R. Artuso, E. Aurell and P. Cvitanović, Nonlinearity 3, 361 (1990).
12. A. Voros, J. Phys. A 21, 685 (1988).
13. B. Eckhardt and E. Aurell, Europhys. Lett. 9, 509 (1989).
14. M. Berry and D. Keating, J. Phys. A 23, 4839 (1990).
15. W. Reinhardt, J. Phys. B 16, L635 (1983).
16. D. Wintgen and H. Friedrich, Phys. Rev. A 36, 131 (1987).
17. H. Friedrich and W. Wintgen, Phys. Rep. 183, 37 (1989).
18. A. Holle, G. Wiebusch, J. Main, B. Hager, H. Rottke and K. H. Welge, Phys. Rev. Lett. 56, 2594 (1986).
19. R. A. Pullen and A. R. Edwards, J. Phys. A 14, L477 (1981).
20. J. H. Kim and G. S. Ezra, in Proceedings of the Adriatico Research Conference on Quantum Chaos, Trieste, 1991, edited by E. Cerdeira and R. Ramaswamy (World Scientific, Singapore, 1991), p. 436.
21. G. S. Ezra, K. Richter, G. Tanner and D. Wintgen, J. Phys. B 24, L413 (1991).
22. L. Du and J. B. Delos, Phys. Rev. Lett. 58, 1731 (1987).
23. L. Du and J. B. Delos, Phys. Rev. A 38, 1896 (1988)
24. J. Mao, K. Rapelje, S. Blodgett-Ford, J. Delos, A. König and H. Rinneberg, Phys. Rev. A 48, 2117 (1993).
25. M. Courtney, Phys. Rev. A 51, 4558 (1995).
26. M. Baranger, M. R. Haggerty, B. Lauritzen, D. C. Meredith and D. Provost, Chaos 5, 261 (1995).
27. K. M. Atkins and G. S. Ezra, Phys. Rev. E 51, 1822 (1995).
28. W. N. Garton and F. S. Tomkins, Astrophys. J. 158, 839 (1969).
29. A. R. Edmonds,, J. Phys. (Paris) Colloq. 31, C4-71 (1970).
30. M. Seng, M. Halka, K.-D. Heber and W. Sandner, Phys. Lett. 74, 3344 (1995).
31. M. Seng and W. Sandner (private communication).
32. G. Tanner and D. Wintgen, Phys. Rev. Lett. 75, 2928 (1995).
33. J. Delos (private communication).
34. J. Main, G. Wiebusch, K. Welge, J. Shaw and J. Delos, Phys. Rev. A 49, 847 (1994).
35. M. Englefield, Group Theory and the Coulomb Problem (Wiley, New York, 1972).
36. R. Bümel and W. P. Reinhardt, in Directions in Chaos, edited by B. L. Hao et al (World Scientific, Hong Kong, 1991), Vol. 4.
37. E. L. Stiefel and G. Scheifele, Linear and Regular Celestial Mechanics (Springer-Verlag, New York, 1971).
38. For a discussion of this limit for regular systems see Ref. 5, p. 298.
39. H. Friedrich, Theoretical Atomic Physics (Springer-Verlag, New York, 1991).
40. J. Burgdörfer, X. Yang and J. Müller, Chaos, Solitons, Fractals 5, 1235 (1995).
41. J. Müller, Ph.D. thesis, Universität of Frankfurt au Main, 1993 [Reihe Physik (Verlag-Deutsch, Frankfurt, 1994), Vol. 19, pp. 1–218].
42. J. M. Rost, J. Phys. B 27, 5923 (1994).
43. M. Domke, K. Schulz, G. Remmers, A. Gutierrez, G. Kaindl and D. Wintgen, Phys. Rev. A 51, R4309 (1995).
44. P. Camus, S. Cohen, L. Pruvost and A. Bolovinos, Phys. Rev. A 48, R9 (1993).
45. K. Richter and D. Wintgen, Phys. Rev. Lett. 65, 1965 (1990).
46. J. Phys. B 24, 565 (1991).
47. K. Richter and D. Wintgen, J. Phys. B 23, L197 (1990).
48. D. Wintgen, K. Richter and G. Tanner, Chaos 2, 19 (1992).
49. J. Müller, J. Burgdörfer and D. Noid, Phys. Rev. A 45, 1471 (1992).
50. J. Müller, X. Yang and J. Burgdörfer, Phys. Rev. A 49, 2470 (1994).
51. T. Yamamoto and K. Kaneko, Phys. Rev. Lett. 70, 1928 (1993).
52. P. Grujic and N. Simonovic, J. Phys. B 28, 1159 (1995).
53. C. E. Wulfman, in Group Theory and Its Application, edited by E. M. Loebl (Academic, New York, 1971).
54. D. R. Herrick and O. Sinanoglu, Phys. Rev. A 11, 97 (1975).
55. D. R. Herrick and M. E. Kellman, Phys. Rev. A 21, 418 (1980).
56. D. R. Herrick, Phys. Rev. A 22, 1346 (1980).
57. D. R. Herrick, M. E. Kellman and R. D. Poliak, Phys. Rev. A 22, 1517 (1980).
58. M. E. Kellman and D. R. Herrick, Phys. Rev. A 22, 1536 (1980).
59. C. D. Lin, Phys. Rev. A 29, 1019 (1984).
60. C. D. Lin, Comments At. Mol. Phys. 19, 89 (1987).
61. A. Bürgers and D. Wintgen, J. Phys. B 27, L131 (1994).
62. A. Bürgers, D. Wintgen and J. M. Rost, J. Phys. B 28, 3063 (1995);A. Bürgers (private communication).
63. M. Dräger, G. Handke, W. Ihra and H. Friedrich, Phys. Rev. A 50, 3793 (1994).
64. A. Lichtenberg and M. Liberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1982).
65. J. Müller and J. Burgdörfer, Phys. Rev. Lett. 70, 2375 (1993).
66. V. N. Ostrovsky, Phys. Rev. A 46, R5309 (1992).
67. J. Z. Tang, S. Watanabe, M. Matsuzawa and C. D. Lin, Phys. Rev. Lett. 69, 1633 (1992), and references therein.