Phase-difference equations: A calculus for quantum revivals

Laser Physics

Volumn 15, Issue 10, 2005, Pages 1496-1507

  Aronstein, D L ^a   Stroud Jr , C R ^b  

^a Corning Tropel Corporation ^*  (United States)

^b UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; POLYNOMIALS; QUANTUM THEORY;

PHASE-DIFFERENCE EQUATIONS; QUANTUM SYSTEMS; WAVEPACKETS;

DIFFERENCE EQUATIONS;

EID: 29144468630     PISSN: 1054660X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (52)

1. J. H. Eberly, N. B. Narozhny, and J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).
2. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).
3. L. S. Brown, Am. J. Phys. 41, 525 (1973).
4. Z. D. Gaeta and C. R. Stroud, Jr., Phys. Rev. A 42, 6308 (1990).
5. C. U. Segre and J. D. Sullivan, Am. J. Phys. 44, 729 (1976).
6. R. Bluhm, V. A. Kostelecký, and J. A. Porter, Am. J. Phys. 64, 944 (1996).
7. N. B. Narozhny, J. J. Sanchez-Mondragon, and J. H. Eberly, Phys. Rev. A 23, 236 (1981).
8. I. Sh. Averbukh, Phys. Rev. A 46, R2205 (1992).
9. M. Fleischhauer and W. P. Schleich, Phys. Rev. A 47, 4258 (1993).
10. P. F. Góra and C. Jedrzejek, Phys. Rev. A 48, 3291 (1993).
11. P. F. Góra and C. Jedrzejek, Phys. Rev. A 49, 3046 (1994).
12. J. Parker and C. R. Stroud, Jr., Phys. Rev. Lett. 56, 716 (1986).
13. R. Bluhm and V. A. Kostelecký, Phys. Rev. A 50, R4445 (1994).
14. J. Wals, H. H. Fielding, and H. B. van Linden van den Heuvell, Phys. Scr. T58, 62 (1995).
15. M. L. Biermann and C. R. Stroud, Jr., Phys. Rev. B 47, 3718 (1993).
16. W.-Y. Chen and G. J. Milburn, Phys. Rev. A 51, 2328 (1995).
17. F. Saif, G. Alber, V. Savichev, and W. P. Schleich, J. Opt. B 2, 668 (2000).
18. R. Arvieu and P. Rozmej, Phys. Rev. A 51, 104 (1995).
19. P. Rozmej, W. Berej, and R. Arvieu, Acta Phys. Pol. B 28, 305 (1997).
20. G. S. Agarwal and J. Banerji, Phys. Rev. A 57, 3880 (1998).
21. D. L. Aronstein and C. R. Stroud, Jr., Phys. Rev. A 62, 022102 (2000).
22. D. L. Aronstein and C. R. Stroud, Jr., Phys. Rev. A 55, 4526 (1997).
23. K. R. Naqvi, S. Waldenstrøm, and T. H. Hassan, Eur. J. Phys. 22, 395 (2001).
24. M. J. J. Vrakking, D. M. Villeneuve, and A. Stolow, Phys. Rev. A 54, R37 (1996).
25. E. M. Wright, D. F. Walls, and J. C. Garrison, Phys. Rev. Lett. 77, 2158 (1996).
26. P. Villain and M. Lewenstein, Phys. Rev. A 62, 043601 (2000).
27. B. Jackson and C. S. Adams, Phys. Rev. A 63, 053606 (2001).
28. S. Tomsovic and J. H. Lefebvre, Phys. Rev. Lett. 79, 3629 (1997).
29. R. Ejnisman, P. Rudy, H. Pu, and N. P. Bigelow, Phys. Rev. A 56, 4331 (1997).
30. Z. Jian, S. Bin, and X. Xiu-San, Phys. Lett. A 231, 123 (1997).
31. W. A. Al-Saidi and D. Stroud, Phys. Rev. B 65, 014512 (2002).
32. P. Rozmej and R. Arvieu, Phys. Rev. A 58, 4314 (1998).
33. I. Sh. Averbukh and N. F. Perelman, Phys. Lett. A 139, 449 (1989).
34. I. Sh. Averbukh and N. F. Perelman, Acta Phys. Pol. A78, 33 (1990).
35. A. Peres, Phys. Rev. A 47, 5196 (1993).
36. R. Bluhm and V. A. Kostelecký, Phys. Lett. A 200, 308 (1995).
37. R. Bluhm and V. A. Kostelecký, Phys. Rev. A 51, 4767 (1995).
38. P. A. Braun and V. I. Savichev, J. Phys. B 29, L329 (1996).
39. O. Knospe and R. Schmidt, Phys. Rev. A 54, 1154 (1996).
40. C. Leichtle, I. Sh. Averbukh, and W. P. Schleich, Phys. Rev. Lett. 77, 3999 (1996).
41. C. Leichtle, I. Sh. Averbukh, and W. P. Schleich, Phys. Rev. A 54, 5299 (1996).
42. R. Bluhm, V. A. Kostelecký, and B. Tudose, Phys. Lett. A 222, 220 (1996).
43. Q.-L. lie and S.-J. Wang, J. Phys. A 33, 2513 (2000).
44. D. F. Styer, Am. J. Phys. 69, 56 (2001).
45. J. D. Hoffman, Numerical Methods for Engineers and Scientists (Marcel Dekker, New York, 2001).
46. M. R. Spiegel, Calculus of Finite Differences and Differential Equations (McGraw-Hill, New York, 1971).
47. U. Dudley, Elementary Number Theory, 2nd ed. (W. H. Freeman Co., New York, 1978).
48. I. Niven, H. S. Zuckerman, and H. L. Montgomery, An Introduction to the Theory of Numbers, 5th ed. (John Wiley and Sons, New York, 1991).
49. O. M. Friesch, I. Marzoli, and W. P. Schleich, New J. Phys. 2, 4 (2000).
50. A. Venugopalan and G. S. Agarwal, Phys. Rev. A 59, 1413 (1999).
51. M. Nauenberg, C. R. Stroud, Jr., and J. Yeazell, Sci. Amer. 270, 24 (1994).
52. M. Mallalieu and C. R. Stroud, Jr., Phys. Rev. A 51, 1827 (1995).