Hydrogen atom in a magnetic field: Ghost orbits, catastrophes, and uniform semiclassical approximations

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 55, Issue 3, 1997, Pages 1743-1759

  Main, Jörg ^a   Wunner, Günter ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000080152     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.55.1743     Document Type: Article

References (32)

1. W. R. S. Garton and F. S. Tomkins, Astrophys. J. 158, 839 (1969).
2. A. Holle, G. Wiebusch, J. Main, B. Hager, H. Rottke and K. H. Welge, Phys. Rev. Lett. 56, 2594 (1986);
3. J. Main, G. Wiebusch, A. Holle and K. H. Welge, Phys. Rev. Lett. 57, 2789 (1986).
4. A. Holle, J. Main, G. Wiebusch, H. Rottke and K. H. Welge, Phys. Rev. Lett. 61, 161 (1988);
5. J. Main, G. Wiebusch and K. H. Welge, Comments At. Mol. Phys. 25, 233 (1991).
6. H. Friedrich and D. Wintgen, Phys. Rep. 183, 37 (1989).
7. H. Hasegawa, M. Robnik and G. Wunner, Prog. Theor. Phys. Suppl. 98, 198 (1989).
8. S. Watanabe, in Review of Fundamental Processes and Applications of Atoms and Ions, edited by C. D. Lin (World Scientific, Singapore, 1993).
9. M. L. Du and J. B. Delos, Phys. Rev. A 38, 1896 (1988);
10. M. L. Du and J. B. Delos, Phys. Rev. A 38, 1913 (1988).
11. E. B. Bogomolny, Pis'ma Zh. Éksp. Teor. Fiz. 47, 445 (1988) [JETP Lett. 47, 526 (1988)];
12. E. B. Bogomolny, Zh. Éksp. Teor. Fiz. 96, 487 (1989) [Sov. Phys. JETP 69, 275 (1989)].
13. J. Main, G. Wiebusch, K. H. Welge, J. Shaw and J. B. Delos, Phys. Rev. A 49, 847 (1994).
14. J. M. Mao and J. B. Delos, Phys. Rev. A 45, 1746 (1992).
15. D. A. Sadovskií, J. A. Show and J. B. Delos, Phys. Rev. Lett. 75, 2120 (1995);
16. D. A. Sadovskií and J. B. Delos, Phys. Rev. E 54, 2033 (1996).
17. M. V. Berry and K. E. Mount, Rep. Prog. Phys. 35, 315 (1972).
18. J. N. L. Connor, Mol. Phys. 31, 33 (1976).
19. M. V. Berry and C. Upstill, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam, 1980), Vol. 18, p. 257– 346.
20. A. M. Ozorio de Almeida and J. H. Hannay, J. Phys. A 20, 5873 (1987).
21. T. Poston and I. N. Steward, Catastrophe Theory and its Applications (Pitman, London, 1978).
22. J. N. L. Connor, Mol. Phys. 26, 1217 (1973).
23. J. N. L. Connor and D. Farrelly, J. Chem. Phys. 75, 2831 (1981).
24. A. D. Peters, C. Jaffé and J. B. Delos, Phys. Rev. Lett. 73, 2825 (1994).
25. M. W. Beims and G. Alber, Phys. Rev. A 48, 3123 (1993).
26. M. Courtney, Hong Jiao, N. Spellmeyer, D. Kleppner, J. Gao and J. B. Delos, Phys. Rev. Lett. 74, 1538 (1995).
27. M. Kus-acute, F. Haake and D. Delande, Phys. Rev. Lett. 71, 2167 (1993).
28. E. L. Stiefel and G. Scheifele, Linear and Regular Celestial Mechanics (Springer, New York, 1971).
29. B. Hüpper, J. Main and G. Wunner, Phys. Rev. Lett. 74, 2650 (1995) and Phys. Rev. A 53, 744 (1996).
30. T. Pearcey, Philos. Mag. 37, 311 (1946).
31. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
32. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965).