Experimentally attainable example of chaotic tunneling: The hydrogen atom in parallel static electric and magnetic fields

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 6, 2003, Pages

  Delande, Dominique ^a   Zakrzewski, Jakub ^b  

^a LABORATOIRE KASTLER BROSSEL   (France)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELD EFFECTS; ELECTRON RESONANCE; ELECTRON TUNNELING; HAMILTONIANS; HYDROGEN; IONIZATION; LAPLACE TRANSFORMS; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

HYDROGEN ATOM; MAGNETIC QUANTUM NUMBER; RANDOM MATRIX THEORY;

QUANTUM THEORY;

EID: 1142280238     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (52)

1. O. Bohigas, in Chaos and Quantum Physics, 1989 Les Houches Lectures Session 52, edited by M.J. Giannoni, A. Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991), p. 87.
2. F. Haake, Quantum Signatures of Chaos, Springer Series in Synergetics Vol. 54 (Springer, Berlin, 1991).
3. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
4. M. Brack and R. K. Bhaduri, Semiclassical Physics (Addison-Wesley, Reading, MA, 1997).
5. H. J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, 1999).
6. O. Bohigas, S Tomsovic, and D. Ullmo, Phys. Rev. Lett. 64, 1479 (1990).
7. O. Bohigas, S Tomsovic, and D. Ullmo, Phys. Rep. 223, 43 (1993).
8. S Tomsovic, and D. Ullmo, Phys. Rev. E 50, 145 (1994).
9. V. Averbukh, N. Moiseyev, B. Mirbach, and H.J. Korsch, Z. Phys. D: At., Mol. Clusters 35, 247 (1995).
10. F. Leyvraz and D. Ullmo, J. Phys. A 29, 2529 (1996).
11. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. E 57, 1458 (1998).
12. J. Zakrzewski, D. Delande, and A. Buchleitneir, Acta. Phys. Pol. A 93, 179 (1998).
13. S.D. Frischat and E. Doron, Phys. Rev. E 57, 1421 (1998).
14. C. Dembowski, et al., Phys. Rev. Lett. 84, 867 (2000).
15. A. Mouchet and D. Delande, Phys. Rev. E 67, 046216 (2003).
16. T.A. Brody et al., Rev. Mod. Phys. 53, 385 (1981).
17. M. L. Mehta, Random Matrices (Academic Press, San Diego, 1991).
18. R.A. Jalabert, A.D. Stone, and Y. Alhassid, Phys. Rev. Lett. 68, 3468 (1992).
19. H. Nakamura and S. Kato, J. Chem. Phys. 112, 1785 (2000).
20. S.C. Creagh and N.D. Whelan, Phys. Rev. Lett. 77, 4975 (1996).
21. S.C. Creagh and N.D. Whelan, Ann. Phys. 272, 196 (1999).
22. S.C. Creagh and N.D. Whelan, Phys. Rev. Lett. 82, 5237 (1999).
23. S. Creagh, S.-Y. Lee, and N. Whelan, Ann. Phys. 295, 194 (2002).
24. A. Shudo and K.S. Ikeda, Phys. Rev. Lett. 74, 682 (1995).
25. A. Shudo and K.S. Ikeda, Physica D 115, 234 (1998).
26. S.C. Creagh and N.D. Whelan, Phys. Rev. Lett. 84, 4084 (2000).
27. E.J. Heller, in Chaos and Quantum Physics, (North-Holland, Amsterdam, 1991) pp. 547-664.
28. E.B. Bogomolny, Physica D 31, 169 (1988).
29. L. Kaplan, Phys. Rev. Lett. 80, 2582 (1998).
30. L. Kaplan, Phys. Rev. Lett. 81, 3371 (1998).
31. W.E. Bies, L. Kaplan, and E.J. Heller, Phys. Rev. E 64, 016204 (2001).
32. O. Brodier, P. Schlagheck, and D. Ullmo, Ann. Phys. 300, 88 (2002).
33. P. Cacciani et al., Phys. Rev. Lett. 56, 1467 (1986).
34. R.L. Waterland, J.B. Delos, and M.L. Du, Phys. Rev. A 35, 5064 (1987).
35. D. Delande, in Chaos and Quantum Physics, (North-Holland, Amsterdam, 1991) pp. 665-726.
36. H. Friedrich and D. Wintgen, Phys. Rep. 183, 37 (1989).
37. B. Grémaud, D. Delande, and J.C. Gay, Phys. Rev. Lett. 70, 1615 (1993).
38. K. Dupret, J. Zakrweski, and D. Delande, Europhys. Lett. 31, 251 (1995).
39. W.P. Reinhardt, Annu. Rev. Phys. Chem. 33, 323 (1982).
40. A. Maquet and S.-I. Chu, and W.P. Reinhardt, Phys. Rev. A 27, 2946 (1983).
41. Y.K. Ho, Phys. Rep. 99, 1 (1983).
42. D. Delande and J.-C. Gay, J. Phys. B 19, 173 (1986).
43. C. Lanczos, J. Res. Natl. Bur. Stand., Sect. B 45, 225 (1950).
44. E.B. Bogomolny, Pis'ma Zh. Eksp. Teor. Fiz. 47, 445 (1988) [JETP Lett. 47, 526 (1988)].
45. E.B. Bogomolny, Zh. Eksp. Teor. Fiz. 96, 487 (1989) [JETP 69, 275 (1989)].
46. J.A. Shaw, J.B. Delos, M. Courtney, and D. Kleppner, Phys. Rev. A 52, 3695 (1995).
47. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995).
48. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in Fortran (Cambridge University Press, Cambridge, 1992).
49. C. Porter and R. Thomas, Phys. Rev. 104, 483 (1956).
50. M. Brack, Found. Phys. 31, 209 (2001).
51. D. Wintgen, J. Phys. B 20, L511 (1987).
52. P. Leboeuf and A. Mouchet, Ann. Phys. 275, 54 (1999).