The effects of classical resonance islands in time-dependent quantum mechanics

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 29, Issue 22, 1996, Pages 5237-5271

  Richards, D ^a  

^a OPEN UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; ELECTRIC FIELDS; FREQUENCIES; HYDROGEN; IONIZATION; RESONANCE;

IONIZATION PROBABILITY; ONE DIMENSIONAL; RESONANCE ISLANDS;

QUANTUM THEORY;

EID: 0030282005     PISSN: 09534075     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-4075/29/22/007     Document Type: Article

References (41)

1. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover)
2. Arrowsmith D K and Place C M 1990 An Introduction to Dynamical Systems (Cambridge: Cambridge University Press)
3. Bayfield J E, Luie S Y, Perotti L C and Skrzypkowski M P 1995 Physica D 83 46-54
4. _1996 Phys. Rev. A 53 R12-5
5. Blümel R and Smilansky U 1987 Z. Phys. D 6 83-105
6. Breuer H P and Holthaus M 1989 Z. Phys. D 11 1-14
7. _1991 J. Physique II 1 437-49
8. Breuer H P, Dietz K and Holthaus M 1991 Z. Phys. D 18 239-48
9. Born M 1960 Mechanics of the Atom (Fredrick Ungar)
10. Dando P A and Richards D 1993 J. Phys. B: At. Mol. Opt. Phys. 26 3001-16
11. Dietz K, Henkel J and Holthaus M 1992 Phys. Rev. A 45 4960-68
12. Damburg R J and Kolosov V V 1983 Theoretical studies of hydrogen atoms in electric fields Rydberg States of Atoms and Molecules ed R F Stebbings and F B Dunning (Cambridge: Cambridge University Press)
13. Goldstein H 1980 Classical Mechanics (Reading, MA: Addison-Wesley)
14. Gradshteyn I S and Ryzhik I M 1965 Tables of Integrals, Series and Products (New York: Academic)
15. Henkel J and Holthaus M 1992 Phys. Rev. A 45 1978-86
16. Jensen R V, Sanders M M, Saraceno M and Sundaram B 1989 Phys. Rev. Lett. 63 2771-5
17. Jordan D W and Smith P 1991 Nonlinear Ordinary Differential Equations (Oxford Applied Mathematics and Computing Science Series)
18. Koch P M 1995 Physica D 83 178-205
19. Koch P M and van Leeuwen K A H 1995 Phys. Rep. 225 289-406
20. Landau L D and Lifshitz E M 1965a Mechanics (Oxford: Pergamon)
21. _1965b Quantum Mechanics (Oxford: Pergamon)
22. Leopold J G and Percival I C 1979 J. Phys. B: At. Mol. Phys. 12 709-21
23. Leopold J G and Richards D 1985 J. Phys. B: At. Mol. Phys. 18 3369-94
24. _1989 J. Phys. B: At. Mol. Opt. Phys. 22 1931-61
25. _1991a J. Phys. B: At. Mol. Opt. Phys. 24 1209-40
26. _1991b J. Phys. B: At. Mol. Opt. Phys. 24 L243-8
27. _1994 J. Phys. B: At. Mol. Opt. Phys. 27 2169-89
28. Lichtenberg A J and Lieberman M A 1991 Regular and Chaotic Dynamics (Berlin: Springer)
29. MacKay R S, Meiss J D and Percival I C 1984 Physica 13D 55-81
30. Meiss J D 1989 Phys. Rev. Lett. 62 1576
31. _1992 Rev. Mod. Phys. 64 795-848
32. Percival I C and Richards D 1982 Introduction to Dynamics (Cambridge: Cambridge University Press)
33. Rath O and Richards D 1988 J. Phys. B: At. Mol. Opt. Phys. 21 555-71
34. Richards D 1987 J. Phys. B: At. Mol. Phys. 20 2171-92
35. Sauer B E, Bellermann M R W and Koch P M 1992 Phys. Rev. Lett. 68 1633-6
36. Sirko L, Bellermann M R W, Haffmans A, Koch P M and Richards D 1993 Phys. Rev. Lett. 71 2895-8
37. Sirko L, Haffmans A, Bellermann M R W and Koch P M 1996 Eur. Phys. Lett. 33 181-6
38. Stevens M J and Sundaram B 1987 Phys. Rev. A 36 417-20
39. Synge J L 1960 Principles of classical mechanics and field theory Handbuch der Physik vol III/I, ed S Flugge (Berlin: Springer) pp 1-225
40. Szebehely V 1967 Theory of Orbits (New York: Academic)
41. Zener C 1932 Proc. R. Soc. A 137 696-702