Matching-pursuit for simulations of quantum processes

Journal of Chemical Physics

Volumn 118, Issue 15, 2003, Pages 6720-6724

  Wu, Yinghua ^a   Batista, Victor S ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; FAST FOURIER TRANSFORMS; HAMILTONIANS; KINETIC ENERGY; MATRIX ALGEBRA; MONTE CARLO METHODS; VECTORS;

DEEP TUNNELING; LONG TIME DYNAMICS; MATCHING PURSUIT ALGORITHM; QUANTUM MECHANICAL PROPAGATOR; SPATIAL MAPPING TECHNIQUES; TROTTER EXPANSION;

QUANTUM THEORY;

EID: 0038637935     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1560636     Document Type: Article

References (29)

1. W. Miller, in Dynamics of Molecules and Chemical Reactions, edited by Z. Zhang and R. Wyatt (Dekker, New York, 1996).
2. D. Colbert and W. Miller, J. Chem. Phys. 96, 1982 (1992).
3. B. Fornberg, A Practical Guide to Pseudospectral Methods (Cambridge University Press, Cambridge, 1996).
4. B. Garraway and K.-A. Suominen, Rep. Prog. Phys. 58, 265 (1995).
5. R. Kosloff, Annu. Rev. Phys. Chem. 45 145 (1994).
6. T. Park and J. Light, J. Chem. Phys. 85, 5870 (1986).
7. J. Fair D. Schaefer, R. Kosloff, and D. Nesbitt, J. Phys. Chem. 116, 1406 (2002).
8. R. Kosloff, in Numerical Grid Methods and Their Application to Schrodinger's Equation, edited by C. Cerjan (Kluwer Academic, Dordrecht, 1993).
9. S. Mallat and Z. Zhang, IEEE Trans. Signal Process. 41, 3397 (1993).
10. J. Burant and V. Batista, J. Chem. Phys. 116, 2748 (2002).
11. Y. Wu and V. Batista, J. Phys. Chem. B 106, 8271 (2002).
12. M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
13. E. Heller, Chem. Phys. Lett. 34, 321 (1975).
14. M. J. Davis and E. J. Heller, J. Chem. Phys. 71, 3383 (1979).
15. E. Heller, J. Chem. Phys. 75, 2923 (1981).
16. R. Coalson and M. Karplus, Chem. Phys. Lett. 90, 301 (1982).
17. S. Sawada, R. Heather, B. Jackson, and H. Metiu, Chem. Phys. Lett. 155, 77 (1989).
18. K. G. Kay, J. Chem. Phys. 91, 170 (1989).
19. M. Ben-Nun and T. Martinez, Adv. Chem. Phys. 121, 439 (2002).
20. D. V. Shalashilin and B. Jackson, Chem. Phys. Lett. 291, 143 (1998).
21. L. Anderson, J. Chem. Phys. 115, 1158 (2001).
22. D. Shalashilin and M. Child, J. Chem. Phys. 113, 10028 (2001).
23. D. Shalashilin and M. Child, J. Chem. Phys. 115, 5367 (2001).
24. R. Kosloff, in Dynamics of Molecules and Chemical Reactions, edited by Z. Zhang and R. Wyatt (Dekker, New York, 1996).
25. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1986).
26. E. Fattal and R. Baer, and R. Kosloff, Phys. Rev. E 53, 1217 (1996).
27. G. Davis, S. Mallat, and Z. Zhang, SPIE J. Opt. Eng. 33, 2183 (1994).
28. I. Hamilton and J. Light, J. Chem. Phys. 84, 306 (1986).
29. P. Bratley, B. Fox, and L. Schrage, A Guide to Simulation (Springer-Verlag, New York, 1997).