Decoherence effects in reactive scattering

Journal of Chemical Physics

Volumn 122, Issue 14, 2005, Pages

  Han, Heekyung ^a   Brumer, Paul ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL REACTIONS; DECOHERENCE; MOMENTUM; REACTIVE SCATTERING;

CHEMICAL REACTIONS; DEGREES OF FREEDOM (MECHANICS); ELECTRON TUNNELING; ENERGY TRANSFER; HAMILTONIANS; MATHEMATICAL MODELS; PROBABILITY; RESONANCE;

QUANTUM THEORY;

EID: 20844459864     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1879912     Document Type: Article

References (41)

1. I. O. Stamatescu, E. Joos, H. D. Zeh, C. Kiefer, D. J. W. Giulini, and J. Kupsch, Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd ed. (Springer, Berlin, 2003); W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003); Decoherence: Theoretical, Experimental, and Conceptual Problems in Lecture Notes in Physics Vol. 538, edited by, P. Blanchard, D. Giulini, E. Joos, C. Kiefer, I. O. Stamatescu, (Springer, Berlin, 2000).
2. I. O. Stamatescu, E. Joos, H. D. Zeh, C. Kiefer, D. J. W. Giulini, and J. Kupsch, Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd ed. (Springer, Berlin, 2003); W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003); Decoherence: Theoretical, Experimental, and Conceptual Problems in Lecture Notes in Physics Vol. 538, edited by, P. Blanchard, D. Giulini, E. Joos, C. Kiefer, I. O. Stamatescu, (Springer, Berlin, 2000).
3. I. O. Stamatescu, E. Joos, H. D. Zeh, C. Kiefer, D. J. W. Giulini, and J. Kupsch, Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd ed. (Springer, Berlin, 2003); W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003); Decoherence: Theoretical, Experimental, and Conceptual Problems in Lecture Notes in Physics Vol. 538, edited by, P. Blanchard, D. Giulini, E. Joos, C. Kiefer, I. O. Stamatescu, (Springer, Berlin, 2000).
4. E. Joos and H. D. Zeh, Z. Phys. B: Condens. Matter 59, 223 (1985).
5. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).
6. W. G. Unruh and W. H. Zurek, Phys. Rev. D 0556-2821 10.1103/PhysRevD.40. 1071 40, 1071 (1989); B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 0556-2821 10.1103/PhysRevD.45.2843 45, 2843 (1992); B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 47, 1576 (1993).
7. W. G. Unruh and W. H. Zurek, Phys. Rev. D 0556-2821 10.1103/PhysRevD.40. 1071 40, 1071 (1989); B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 0556-2821 10.1103/PhysRevD.45.2843 45, 2843 (1992); B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 47, 1576 (1993).
8. W. G. Unruh and W. H. Zurek, Phys. Rev. D 0556-2821 10.1103/PhysRevD.40. 1071 40, 1071 (1989); B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 0556-2821 10.1103/PhysRevD.45.2843 45, 2843 (1992); B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 47, 1576 (1993).
9. R. Sadeghi and R. T. Skodje, J. Chem. Phys. 99, 5126 (1993), and references therein.
10. J. Wilkie and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.27 55, 27 (1997); J. Wilkie and P. Brumer. Phys. Rev. A 55, 43 (1997).
11. J. Wilkie and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.27 55, 27 (1997); J. Wilkie and P. Brumer. Phys. Rev. A 55, 43 (1997).
12. S. Habib, K. Shizume, and W. H. Zurek, Phys. Rev. Lett. 80, 4361 (1998), and references therein.
13. J. Gong and P. Brumer, Phys. Rev. E 60, 1643 (1999).
14. E. Bittner and P. Rossky, J. Chem. Phys. 103, 8130 (1995).
15. O. Prezhdo, Phys. Rev. Lett. 85, 4413 (2000).
16. M. Shapiro and P. Brumer, Adv. At., Mol., Opt. Phys. 42, 287 (2000).
17. M. R. Gallis and G. N. Fleming, Phys. Rev. A 1050-2947 10.1103/PhysRevA.42.38 42, 38 (1990); M. R. Gallis and G. N. Fleming, Phys. Rev. A 43, 5778 (1991).
18. M. R. Gallis and G. N. Fleming, Phys. Rev. A 1050-2947 10.1103/PhysRevA.42.38 42, 38 (1990); M. R. Gallis and G. N. Fleming, Phys. Rev. A 43, 5778 (1991).
19. N. Gisin and I. Percival, J. Phys. A 25, 5677 (1992), and references therein.
20. M. D. Feit, J. A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982).
21. J. R. Klauder and W. P. Petersen, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 22, 1153 (1985).
22. H. Han, Ph.D. dissertation, University of Toronto, 2004.
23. B. Liu, J. Chem. Phys. 0021-9606 10.1063/1.1679454 58, 1925 (1973); P. Siegbahn and B. Liu, J. Chem. Phys. 0021-9606 10.1063/1.436018 68, 2457 (1978); D. G. Truhlar and C. J. Horowitz, J. Chem. Phys. 68, 2466 (1978).
24. B. Liu, J. Chem. Phys. 0021-9606 10.1063/1.1679454 58, 1925 (1973); P. Siegbahn and B. Liu, J. Chem. Phys. 0021-9606 10.1063/1.436018 68, 2457 (1978); D. G. Truhlar and C. J. Horowitz, J. Chem. Phys. 68, 2466 (1978).
25. B. Liu, J. Chem. Phys. 0021-9606 10.1063/1.1679454 58, 1925 (1973); P. Siegbahn and B. Liu, J. Chem. Phys. 0021-9606 10.1063/1.436018 68, 2457 (1978); D. G. Truhlar and C. J. Horowitz, J. Chem. Phys. 68, 2466 (1978).
26. E. A. McCullough, Jr. and R. E. Wyatt, J. Chem. Phys. 54, 3578 (1971).
27. J. M. Bowman and A. Kuppermann, J. Chem. Phys. 59, 6524 (1973), and references therein.
28. H. Lee and T. George, J. Chem. Phys. 84, 6247 (1986).
29. C. C. Rankin and W. H. Miller, J. Chem. Phys. 55, 3150 (1971).
30. Y. Elran and P. Brumer, J. Chem. Phys. 121, 2673 (2004); Y. Elran, R. Kapral, and P. Brumer (unpublished).
31. Y. Elran and P. Brumer, J. Chem. Phys. 121, 2673 (2004); Y. Elran, R. Kapral, and P. Brumer (unpublished).
32. S. Mahapatra and N. Sathyamurthy, J. Chem. Phys. 105, 10934 (1996).
33. H. Ushiyama and K. Takatsuka, J. Chem. Phys. 109, 9664 (1998).
34. W. H. Zurek and J. P. Paz, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.2508 72, 2508 (1994); A. R. Kolovsky, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.340 76, 340 (1996); A. R. Kolovsky, Europhys. Lett. 27, 79 (1994).
35. W. H. Zurek and J. P. Paz, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.2508 72, 2508 (1994); A. R. Kolovsky, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.340 76, 340 (1996); A. R. Kolovsky, Europhys. Lett. 27, 79 (1994).
36. W. H. Zurek and J. P. Paz, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.2508 72, 2508 (1994); A. R. Kolovsky, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.340 76, 340 (1996); A. R. Kolovsky, Europhys. Lett. 27, 79 (1994).
37. R. L. Liboff, Introductory Quantum Mechanics, 2nd ed. (Addison-Wesley, Reading, MA, 1992).
38. For a thorough discussion of the semiclassical S -matrix approach in molecular collisions, see W. H. Miller, Adv. Chem. Phys. 30, 77 (1975).
39. Y. Elran and P. Brumer (unpublished).
40. J. P. Paz, S. Habib, and W. H. Zurek, Phys. Rev. D 47, 488 (1993).
41. S. A. Rice, Diffusion-Limited Reactions (Elsevier, Amsterdam, 1985).