Dynamics of wave packets in inhomogeneous and homogeneous magnetic fields

Laser Physics

Volumn 9, Issue 1, 1999, Pages 41-47

  Csesznegi, J C ^a   Rutherford, G H ^a   Su, Q ^a   Grobe, R ^a  

^a ILLINOIS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002997992     PISSN: 1054660X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (42)

1. For recent review on laser performances, see Mourou, G.A., Barty, C.P.J., and Perry, M.D., 1998, Phys. Today, 51, no. 1, 22.
2. For recent experimental works using high-power laser sources, see Perry, M.D. and Mourou, G., 1994, Science, 264, 917;
3. Boyer, K. and Rhodes, C.K., 1994, J. Phys. B, 27, L633;
4. Moore, C.I., Knauer, J.P., and Meyerhofer, D.D., 1995, Phys. Rev. Lett., 74, 2439;
5. Monot, P., Auguste, T., Gibbon, P., et al., 1995, Phys. Rev. Lett., 74, 2953.
6. For review articles and monographs on the strong-field physics, see 1991, Multiphoton Processes, Mainfray, G. and Agostini, P., Eds. (Paris: CEA);
7. 1992, Atoms in Intense Laser Fields, Gavrila, M., Ed. (Boston: Academic);
8. 1994, Multiphoton Processes, Evans, D.K. and Chin, S.L., Eds. (World Scientific);
9. 1993, Super-Intense Laser-Atom Physics, Piraux, B., L'Huillier, A., and Rzazewski, K., Eds. NATO ASI Series B, 316 (New York: Plenum);
10. DiMauro, L.F. and Agostini, P., 1995, Adv. At. Mol. Opt. Phys., 35, 79;
11. 1996, Super-Intense Laser-Atom Physics IV, Muller, H.G. and Fedorov, M.V., Eds. NATO SI Series 3, High technology, 13 (Kluwer Academic Publishers).
12. The numerical solution of the Dirac equation has been attempted first in nuclear physics to simulate heavy-ion collisions, see, e.g., Becker, U., Grün, N., and Schneid, W., 1983, J. Phys. B, 16, 1967;
13. Becker, U., Grün, N., Schneid, W., and Soff, G., 1986, Phys. Rev. Lett., 56, 2016;
14. Bottcher, C., Strayer, M.R., Umar, A.S., and Reinhard, P.G., 1989, Phys. Rev. A, 40, 4182;
15. Momberger, K., Grün, N., and Scheid, W., 1991, Z. Phys. D, 18, 133.
16. Su, Q., Smetanko, B.A., and Grobe, R., 1998, Laser Phys., 8, 93;
17. 1989, Opt. Exp., 2, 277.
18. For stationary relativistic states of quantum electrons in magnetic fields, see Johnson, M.H. and Lippmann, B.A., 1950, Phys. Rev., 76, 828;
19. Phys. Rev., 77, 702;
20. and for review, see Sokolov, A.A. and Temov, I.M., 1968, Synchrotron Radiation (Akademie Verlag, Pergamon).
21. For a review on hydrogen atoms in homogeneous magnetic fields, see the reviews by Friedrich, H. and Wintgen, D., 1989, Phys. Rep., 183, 37;
22. Hasegawa, H., Robnik, M., and Wunner, G., 1989, Progr. Theor. Phys. Suppl., 98, 198;
23. Ruder, H., Wunner, G., Herold, H., and Geyer, F., 1994, Atoms in Strong Magnetic Fields (Springer).
24. Ulcer, T. and Farrelly, D., 1995, Phys. Rev. A, 52, R2501.
25. Rao, J. and Li, B., 1995, Phys. Rev. A, 51, 4526.
26. For works on combined electric and magnetic fields with arbitrary orientation, see Main, J., Schwacke, M., and Wunner, G., 1998, Phys. Rev. A, 57, 1149 and references therein.
27. For temporal quantum revivals due to relativistic velocities in homogeneous fields, see Filipowicz, P. and Mostowski, J., 1981, Phys. Lett. A, 86, 356.
28. For a nice review on the mathematical properties of the Dirac operator, see Thaller, B., 1992, The Dirac Equation (Springer).
29. Feit, M.D., Fleck, J.A., Jr., and Steiger, A., 1982, J. Comp. Phys., 47, 412;
30. Bandrauk, A.D. and Shen, H., 1991, Chem. Phys. Lett., 176, 428.
31. Bandrauk, A.D. and Shen, H., 1993, J. Chem. Phys., 99, 1185.
32. Braun, J.W., Su, Q., and Grobe, R., Phys. Rev. A, A59, XXX (1999).
33. Rowe, E.G., 1991, Am. J. Phys., 59, no. 12, 1114.
34. Szmytkowski, R., 1992, Am. J. Phys., 60, 945.
35. For studies of the stability of stationary (time-independent) hydrogenic states in B-fields, see Fassbinder, P. and Schweizer, W., 1996, Phys. Rev. A, 53, 2135;
36. Benvenuto, F., Casati, G., and Shepelyansky, D.L., 1997, Phys. Rev. A, 55, 1732.
37. Wagner, R., Su, Q., and Grobe, R., Phys. Rev. A (to be submitted).
38. Dehmelt, H., 1988, Z. Phys. D, 10, 127.
39. Martens, H. and de Muynck, W.M., 1993, J. Phys. A, 26, 2001.
40. Batelaan, H., Gay, T.J., and Schwendiman, J.J., 1997, Phys. Rev. Lett., 79, 4517.
41. Rutherford, G.H. and Grobe, R., J. Phys. A, 1998, 31, 9331.
42. Rutherford, G.H. and Grobe, R., Phys. Rev. Lett., 1998, 81, 4772.