Entangled trajectory dynamics in the Husimi representation

Journal of Chemical Physics

Volumn 125, Issue 15, 2006, Pages

  López, Hender ^a   Martens, Craig C ^b   Donoso, Arnaldo ^a  

^a INSTITUTO VENEZOLANO DE INVESTIGACIONES CIENTÍFICAS   (Venezuela)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE KERNEL DENSITY; ENTANGLED TRAJECTORY DYNAMICS; HUSIMI REPRESENTATION; QUANTUM DYNAMICAL EQUATIONS;

ATOMIC PHYSICS; DERIVATIVES; PROBABILITY DISTRIBUTIONS;

QUANTUM THEORY;

EID: 33750188719     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2222368     Document Type: Article

References (30)

1. E. Madelung, Z. Phys. 40, 332 (1926).
2. L. de Broglie, Compt. Rend. 183, 447 (1926).
3. E. P. Wigner, Phys. Rev. 40, 749 (1932).
4. H. W. Lee, Phys. Rep. 259, 147 (1995).
5. K. Husimi, Proc. Phys. Math. Soc. Jpn. 22, 264 (1940).
6. K. Takahashi, Prog. Theor. Phys. Suppl. 98, 109 (1989).
7. K. Takahashi and N. Saito, Phys. Rev. Lett. 55, 645 (1985).
8. A. Chertock, J. Comput. Phys. 171, 708 (2001).
9. A. Donoso and C. C. Martens, Phys. Rev. Lett. 87, 223202 (2001).
10. S. M. Kirkup and M. Wadsworth, Appl. Math. Model. 26, 1003 (2002).
11. M. Breuss, T. Brox, T. Sonar, and J. Weickert, Lecture Notes in Computer Science (Springer, Berlin, 2005), Vol. 3459, pp. 536-547.
12. B. W. Silverman, Density Estimation for Statistics and Data Analysis (Chapman and Hall, London, 1986).
13. K. Fukunaga, Introduction to Statistical Pattern Recognition, 2nd ed. (Academic, San Diego, 1990).
14. L. Sigalotti, H. López, A. Donoso, E. Sira, and J. Klapp, J. Comput. Phys. 212, 124 (2006).
15. R. T. Skodje, H. W. Rohrs, and J. VanBuskirk, Phys. Rev. A 40, 2894 (1989).
16. J. Daligault, Phys. Rev. A 68, 010501 (R) (2003).
17. A. Donoso and C. C. Martens, J. Phys. Chem. A 102, 4291 (1998).
18. A. Donoso, D. Kohen, and C. C. Martens, J. Chem. Phys. 112, 7345 (2000).
19. A. Donoso and C. C. Martens, J. Chem. Phys. 112, 3980 (2000).
20. A. Donoso and C. C. Martens, J. Chem. Phys. 116, 10598 (2002).
21. A. Donoso, Y. Zheng, and C. C. Martens, J. Chem. Phys. 119, 5010 (2003).
22. C. T. Trahan and R. Wyatt, J. Chem. Phys. 119, 7017 (2003).
23. R. Kosloff, Annu. Rev. Phys. Chem. 45, 145 (1994).
24. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).
25. J. R. Chaudhuri, B. C. Bag, and D. S. Ray, J. Chem. Phys. 111, 10852 (1999).
26. G. Gangopadhyay and D. S. Ray, J. Chem. Phys. 46, 4693 (1992).
27. F. Haake, H. Risken, C. Savage, and D. Walls, Phys. Rev. A 34, 3969 (1986).
28. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
29. S. Linkwitz, H. Grabert, E. Turlot, D. Esteve, and M. H. Devoret, Phys. Rev. A 45, 3369 (1992).
30. U. Griff, H. Grabert, P. Hänggi, and P. S. Riseborough, Phys. Rev. B 40, 7295 (1989).