Classical versus quantum dynamics for a driven relativistic oscillator

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 3, 2000, Pages 354021-354023

  Wagner, R E ^a   Peverly, P J ^a   Su, Q ^a   Grobe, R ^a  

^a ILLINOIS STATE UNIVERSITY   (United States)

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EID: 0005102833     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. H. C. Kim, M. H. Lee, J. Y. Ji, and J. K. Kim, Phys. Rev. A 53, 3767 (1996), and references therein.
2. K. Bhattacharyya and D. Mukhrtjee, J. Chem. Phys. 84, 3212 (1986).
3. T. Hogg and B. A. Huberman, Phys. Rev. Lett. 48, 711 (1982).
4. F. Haake, Quantum Signatures of Classical Chaos (Springer-Verlag, Berlin, 1991).
5. F. Haake, M. Kus, and R. Scharf, Z. Phys. B: Condens. Matter 65, 381 (1987).
6. J. H. Kim and H. W. Lee, Phys. Rev. E 51, 1579 (1995); 52, 473 (1995); S. W. Lee, J. H. Kim, and H. W. Lee, ibid 56, 4090 (1997).
7. J. H. Kim and H. W. Lee, Phys. Rev. E 51, 1579 (1995); 52, 473 (1995); S. W. Lee, J. H. Kim, and H. W. Lee, ibid 56, 4090 (1997).
8. J. H. Kim and H. W. Lee, Phys. Rev. E 51, 1579 (1995); 52, 473 (1995); S. W. Lee, J. H. Kim, and H. W. Lee, ibid 56, 4090 (1997).
9. J. H. Kim and H. W. Lee, Phys. Rev. E 54, 3461 (1996).
10. For a collection of the few analytically soluble cases, see V. G. Bagrov and D. M. Gitman, Exact Solutions of Relativistic Wave Equations (Kluwer, Dordrecht, 1990).
11. C. Bottcher and M. R. Strayer, Ann. Phys. (N.Y.) 175, 64 (1987).
12. J. C. Wells, A. S. Umar, V. E. Oberacker, C. Bottcher, M. R. Strayer, J.-S. Wu, J. Drake, and R. Flanery, Int. J. Mod. Phys. C 4, 459 (1993).
13. K. Momberger, A. Belkacem, and A. H. Sorensen, Phys. Rev. A 53, 1605 (1996).
14. U. W. Rathe, C. H. Keitel, M. Protopapas, and P. L. Knight, J. Phys. B 30, L531 (1997).
15. N. J. Kylstra, A. M. Ermolaev, and C. J. Joachain, J. Phys. B 30, L449 (1997).
16. C. Szymanowski, C. H. Keitel, and A. Maquet, Laser Phys. 9, 133 (1999).
17. J. W. Braun, Q. Su, and R. Grobe, Phys. Rev. A 59, 604 (1999).
18. C. H. Keitel, P. L. Knight, and K. Burnett, Europhys. Lett. 24, 539 (1993); C. H. Keitel and P. L. Knight, Phys. Rev. A 51, 1420 (1995).
19. C. H. Keitel, P. L. Knight, and K. Burnett, Europhys. Lett. 24, 539 (1993); C. H. Keitel and P. L. Knight, Phys. Rev. A 51, 1420 (1995).
20. R. E. Wagner, Q. Su, and R. Grobe, Bull. Am. Phys. Soc. 44, 634 (1999); Phys. Rev. A 60, 3233 (1999).
21. R. E. Wagner, Q. Su, and R. Grobe, Bull. Am. Phys. Soc. 44, 634 (1999); Phys. Rev. A 60, 3233 (1999).
22. R. E. Wagner, Q. Su, and R. Grobe (unpublished).
23. H. Goldstein, Classical Mechanics, 2nd ed. (Addison-Wesley, New York, 1980).
24. For a discussion on the nonrelativistic limit, see B. Thaller, The Dirac Equation (Springer, Berlin, 1992), Chap. 6.
25. The nondriven time evolution is described in L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1968).
26. For relativistic suppression of spatial spreading, see Q. Su, B. A. Smetanko, and R. Grobe, Opt. Express 2, 277 (1998); Laser Phys. 8, 93 (1998).
27. For relativistic suppression of spatial spreading, see Q. Su, B. A. Smetanko, and R. Grobe, Opt. Express 2, 277 (1998); Laser Phys. 8, 93 (1998).