A bohmian total potential view to quantum effects. I. Methodology and simple model systems

Journal of Chemical Physics

Volumn 120, Issue 23, 2004, Pages 10961-10971

  González, Javier ^a   Bofill, Josep Maria ^a   Giménez, Xavier ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EQUATIONS OF MOTION; HYDRODYNAMICS; KINETIC ENERGY; MATHEMATICAL MODELS; MATRIX ALGEBRA; QUANTUM OPTICS; RESONANCE; STATISTICAL METHODS;

GAUSSIAN PACKETS; QUANTUM DYNAMICS (QD); QUANTUM EFFECTS; WAVE FUNCTIONS;

QUANTUM THEORY;

EID: 18344397499     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1747869     Document Type: Article

References (64)

1. D. Bohm and B. Hiley, The Undivided Universe (Routledge and Kegan Paul, London, 1993).
2. P. R. Holland, The Quantum Theory of Motion (Cambridge University Press, Cambridge, 1993).
3. T. C. Wallstrom, Phys. Rev. A 49, 1613 (1994).
4. M. V. Berry, in Physics of Defects, Les Houches 1980, edited by R. Balian et al. (North-Holland, Amsterdam, 1981), pp. 453-543.
5. P. R. Holland, A. Kyprianidis, Z. Maric, and J. P. Vigier, Phys. Rev. A 33, 4380 (1986).
6. R. T. Skodje, H. W. Rohrs, and J. Van Buskirk, Phys. Rev. A 40, 2894 (1989).
7. J. B. Maddox and E. R. Bittner, Phys. Rev. E 65, 026143 (2002).
8. I. Burghardt and K. B. Møller, J. Chem. Phys. 117, 7409 (2002).
9. N. Costa-Dias and J. Nuno-Prata, Phys. Lett. A 302, 261 (2002).
10. J. H. Weiner and Y. Partom, Phys. Rev. 187, 1134 (1969); Phys. Rev. B 1, 1533 (1970).
11. J. H. Weiner and Y. Partom, Phys. Rev. 187, 1134 (1969); Phys. Rev. B 1, 1533 (1970).
12. J. H. Weiner and A. Askar, J. Chem. Phys. 54, 1108 (1971); 54, 3534 (1971).
13. J. H. Weiner and A. Askar, J. Chem. Phys. 54, 1108 (1971); 54, 3534 (1971).
14. A. Askar and J. H. Weiner, Am. J. Phys. 39, 1230 (1971).
15. J. H. Weiner, J. Chem. Phys. 68, 2492 (1978).
16. P. Zimmerer, M. Zimmermann, N. Grun, and W. Scheid, Comput. Phys. Commun. 63, 21 (1991).
17. B. K. Day, A. Askar, and H. Rabitz, J. Chem. Phys. 109, 8770 (1998).
18. C. L. Lopreore and R. E. Wyatt, Phys. Rev. Lett. 82, 5190 (1999).
19. F. Sales Mayor, A. Askar, and H. Rabitz, J. Chem. Phys. 111, 2423 (1999).
20. R. E. Wyatt, Chem. Phys. Lett. 313, 189 (1999).
21. R. E. Wyatt, J. Chem. Phys. 111, 4406 (1999).
22. C. L. Lopreore and R. E. Wyatt, Chem. Phys. Lett. 325, 73 (2000).
23. R. E. Wyatt, D. J. Kouri, and D. K. Hoffman, J. Chem. Phys. 112, 10730 (2000).
24. E. R. Bittner and R. E. Wyatt, J. Chem. Phys. 113, 8888 (2000).
25. R. E. Wyatt and R. E. Bittner, J. Chem. Phys. 113, 8898 (2000).
26. D. Nerukh and J. H. Frederick, Chem. Phys. Lett. 332, 145 (2000).
27. R. E. Wyatt, C. L. Lopreore, and G. Parlant, J. Chem. Phys. 114, 5113 (2001).
28. R. E. Wyatt and K. Na, Phys. Rev. E 65, 016702 (2001).
29. E. Gindensperger, C. Meier, and J. A. Beswick, J. Chem. Phys. 113, 9369 (2000).
30. O. V. Prezdho and C. Brooksby, Phys. Rev. Lett. 86, 3215 (2001).
31. E. Gindensperger, C. Meier, J. A. Beswick, and M. C. Heitz, J. Chem. Phys. 116, 10051 (2002).
32. L. L. Salcedo, Phys. Rev. Lett. 90, 118901 (2003).
33. W. H. Miller, Adv. Chem. Phys. 25, 69 (1974).
34. V. P. Maslov and M. V. Fredoriuk, Semiclassical Approximation in Quantum Mechanics (Reidel, Dordrecht, 1981).
35. M. S. Child, Semiclassical Mechanics with Molecular Applications (Oxford University Press, Oxford, 1991).
36. J. B. Delos, Adv. Chem. Phys. 65, 161 (1986).
37. M. F. Herman, Annu. Rev. Phys. Chem. 45, 83 (1994).
38. M. A. Sepúlveda and F. Grossmann, Adv. Chem. Phys. 96, 191 (1996).
39. W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
40. H. Miller and J. Z. H. Zhang, J. Phys. Chem. 95, 12 (1991).
41. V. A. Benderskii, D. Makarov, and C. A. Wight, Adv. Chem. Phys. 88, 1 (1994).
42. N. E. Henriksen, F. Y. Hansen, and G. D. Billing, Chem. Phys. Lett. 330, 139 (2000).
43. J. Suñé and X. Oriols, Phys. Rev. Lett. 85, 894 (2000).
44. M. M. Ali, A. S. Majumdar, and D. Home, Phys. Lett. A 304, 61 (2002).
45. X. Oriols, F. Martin, and J. Suñé, Phys. Rev. A 54, 2594 (1996).
46. E. R. Bittner, J. Chem. Phys. 112, 9703 (2000).
47. D. T. Colbert and W. H. Miller, J. Chem. Phys. 96, 1982 (1992).
48. D. Neuhauser and M. Baer, J. Chem. Phys. 90, 4351 (1989).
49. J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985).
50. R. J. Glauber, Phys. Rev. 130, 2529 (1963); 131, 2766 (1963).
51. R. J. Glauber, Phys. Rev. 130, 2529 (1963); 131, 2766 (1963).
52. J. R. Klauder and B. S. Skagerstam, Coherent States (World Scientific, River Edge, NJ, 1985).
53. The role of γ, as well as the coherent state representation of the semiclassical initial value representation, has been much clarified recently. W. H. Miller, Mol. Phys. 100, 397 (2002).
54. M. H. Beck, A. Jäckle, G. A. Worth, and H.-D. Meyer, Phys. Rep. 324, 1 (2000).
55. F. Huarte-Larrañaga and U. Manthe, J. Chem. Phys. 113, 5115 (2000).
56. G. D. Billing and S. Adhikari, Chem. Phys. Lett. 321, 197 (2000).
57. B. Barkabaty and S. Adhikari, J. Chem. Phys. 118, 5302 (2003).
58. S. Esposito, Phys. Rev. E 67, 016609 (2003).
59. E. J. Heller, J. Phys. Chem. A 103, 10433 (1999).
60. C. Dewdney and B. J. Hiley, Found. Phys. 12, 27 (1982).
61. A. Kuppermann, in Theoretical Chemistry, Advances and Perspectives, edited by D. Henderson (Academic, New York, 1981), Vol. 6A, pp. 79-164.
62. T. Hey and P. Walters, The New Quantum Universe (Cambridge University Press, Cambridge, 2003).
63. A. A. Sokolov and A. A. Tumanov, Sov. Phys. JETP 3, 958 (1957).
64. D. Bohm and J. P. Vigier, Phys. Rev. 96, 208 (1954).