Chaos and bifurcations in ion traps of cylindrical and spherical design

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 2, 1998, Pages 1511-1518

  Blumel R ^a   Bonneville, E ^a   Carmichael, A ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242545197     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1511     Document Type: Article

References (30)

1. K. H. Kingdon, Phys. Rev. 21, 408 (1923)
2. D. A. Church, Phys. Scr. T59, 216 (1995)
3. F. M. Penning, Physica (Amsterdam) 3, 873 (1936)
4. H. Dehmelt, Rev. Mod. Phys. 62, 525 (1990)
5. W. Paul, W. Osberghaus, and E. Fischer, Forsch. Wirtsch. Verkehrsminist. Nordrhein Westfalen 415, 1 (1958).
6. W. Paul, Rev. Mod. Phys. 62, 531 (1990)
7. H. Dehmelt, Phys. Scr. T59, 303 (1995)
8. R. Blümel, C. Kappler, W. Quint, and H. Walther, Phys. Rev. A 40, 808 (1989)
9. J. Hoffnagle and R. G. Brewer, Phys. Rev. A 50, 4157 (1994)
10. J. J. Bollinger, D. J. Heinzen, W. M. Itano, S. L. Gilbert, and D. J. Wineland, IEEE Trans. Instrum. Meas. 40, 126 (1991)
11. J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995)
12. H. Straubel, Naturwissenschaften 42, 506 (1955)
13. C. A. Schrama, E. Peik, W. W. Smith, and H. Walther, Opt. Commun. 101, 32 (1993).
14. R. G. Lerner and G. L. Trigg, Encyclopedia of Physics, 2nd ed. (VCH, New York, 1991), p. 1239.
15. R. Blümel, Phys. Rev. A 51, R30 (1995)
16. R. Blümel, Appl. Phys. B: Lasers Opt. 60, 119 (1995)
17. R. Blümel, Phys. Scr. T59, 369 (1995)
18. E. Teloy (private communication).
19. R. E. Bahr, Diplomarbeit, Physikalisches Institut der Universität Freiburg, 1969 (unpublished).
20. E. Behre, Zulassungsarbeit, Physikalisches Institut der Universität Freiburg, 1972 (unpublished).
21. T. W. Hänsch and A. L. Schawlow, Opt. Commun. 13, 68 (1975).
22. E. Peik and J. Fletcher (unpublished).
23. S. Stenholm, Rev. Mod. Phys. 58, 699 (1986)
24. D. J. Wineland and W. M. Itano, Phys. Today 40(6), 34 (1987)
25. Handbook of Mathematical Functions, Appl. Math. Ser. No. 55, edited by M. Abramowitz and I. A. Stegun (U.S. GPO, Washington, DC, Natl. Bur. Stand. 1964).
26. H. G. Dehmelt, Adv. At. Mol. Phys. 3, 53 (1967).
27. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, Oxford, 1960).
28. J. Walz, I. Siemers, M. Schubert, W. Neuhauser, and R. Blatt, Europhys. Lett. 21, 183 (1993)
29. R. Blümel, S. Fishman, and U. Smilansky, J. Chem. Phys. 84, 2604 (1986).
30. J. Hoffnagle and R. G. Brewer, Phys. Rev. Lett. 71, 1828 (1993). PRLTAO