A semiclassical hybrid approach to many particle quantum dynamics

Journal of Chemical Physics

Volumn 125, Issue 1, 2006, Pages

  Grossmann, Frank ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTINUUM MECHANICS; CORRELATION METHODS; DEGREES OF FREEDOM (MECHANICS); FUNCTION EVALUATION; KINEMATICS; PARTICLE DETECTORS;

PACKET DYNAMICS; PARTICLE DYNAMICS; QUANTUM DYNAMICS; WAVE PACKET DYNAMICS;

QUANTUM THEORY;

EID: 33745795078     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2213255     Document Type: Article

References (41)

1. M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
2. K. G. Kay, J. Chem. Phys. 100, 4377 (1994).
3. K. G. Kay, J. Chem. Phys. 100, 4432 (1994).
4. K. G. Kay, J. Chem. Phys. 101, 2250 (1994).
5. A. Walton and D. E. Manolopoulos, Mol. Phys. 87, 961 (1996).
6. F. Grossmann, Chem. Phys. Lett. 262, 470 (1996).
7. S. Garashchuk and D. J. Tannor, Chem. Phys. Lett. 262, 477 (1996).
8. B. R. McQuarrie and P. Brumer, Chem. Phys. Lett. 319, 27 (2000).
9. W. H. Miller, J. Phys. Chem. A 105, 2942 (2001) and references therein.
10. M. Spanner, V. S. Batista, and P. Brumer, J. Chem. Phys. 122, 084111 (2005).
11. G. van de Sand and J.-M. Rost, Phys. Rev. A 59, R1723 (1999).
12. G. van de Sand and J.-M. Rost, Phys. Rev. Lett. 83, 524 (1999).
13. S. Yoshida, F. Grossmann, E. Persson, and J. Burgdörfer, Phys. Rev. A 69, 043410 (2004).
14. G. Stock and M. Thoss, Phys. Rev. Lett. 78, 578 (1997).
15. M. Thoss and H. Wang, Annu. Rev. Phys. Chem. 55, 299 (2004).
16. K. G. Kay, Annu. Rev. Phys. Chem. 56, 255 (2005).
17. E. J. Heller, J. Chem. Phys. 62, 1544 (1975).
18. E. J. Heller, in Chaos and Quantum Physics, edited by M. J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier, Amsterdam, 1991).
19. F. Grossmann, Comments At. Mol. Phys. 34, 141 (1999).
20. G. D. Billing, The Quantum Classical Theory (Oxford University Press, New York, 2003).
21. H. Wang, M. Thoss, and W. H. Miller, J. Chem. Phys. 115, 2979 (2001).
22. X. Sun and W. H. Miller, J. Chem. Phys. 106, 6346 (1997).
23. M. Ovchinnikov and V. A. Apkarian, J. Chem. Phys. 108, 2277 (1998).
24. D. Secrest and B. R. Johnson, J. Chem. Phys. 45, 4556 (1966).
25. E. J. Heller, J. Chem. Phys. 75, 2923 (1981).
26. R. Gelabert, X. Giménez, M. Thoss, H. Wang, and W. H. Miller, J. Chem. Phys. 114, 2572 (2001).
27. E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. 84, 326 (1986).
28. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals Series and Products, 5th ed. (Academic, New York, 1994).
29. W. H. Miller, J. Chem. Phys. 53, 3578 (1970).
30. D. E. Skinner and W. H. Miller, Chem. Phys. Lett. 300, 20 (1999).
31. D. E. Skinner and W. H. Miller, J. Chem. Phys. 111, 10787 (1999).
32. Y. Elran and K. G. Kay, J. Chem. Phys. 114, 4362 (2001).
33. D. J. Tannor and D. E. Weeks, J. Chem. Phys. 98, 3884 (1993).
34. M. D. Feit, J. A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1983).
35. S. K. Gray, D. W. Noid, and B. G. Sumpter, J. Chem. Phys. 101, 4062 (1994).
36. R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948).
37. J. H. van Vleck, Proc. Natl. Acad. Sci. U.S.A. 14, 178 (1928).
38. M. C. Gutzwiller, J. Math. Phys. 8, 1979 (1967).
39. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, Cambridge, 1992).
40. M. L. Brewer, J. S. Hulme, and D. E. Manolopoulos, J. Chem. Phys. 106, 4832 (1997).
41. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).