The quadrature discretization method (QDM) in the solution of the Schrödinger equation with nonclassical basis functions

Journal of Chemical Physics

Volumn 104, Issue 11, 1996, Pages 4137-4150

  Shizgal, Bernie D ^a,b   Chen, Heli ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b Department of Geophysics and Astronomy ^*

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001149298     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.471225     Document Type: Article

References (33)

1. J. Ackermann, B. Erdmann, and R. Roitzsch, J. Chem. Phys. 101, 7643 (1994);
2. A. G. Abrashkevich and D. G. Abrashkevich, Comput. Phys. Commun. 82, 193 (1994);
3. R. Jaquet, Comput. Phys. Commun. ibid. 58, 257 (1990);
4. M. N. Ringnalda, M. Behadj, and R. A. Friesner, J. Chem. Phys. 93, 3397 (1990);
5. A. C. Peet and W. Yang, J. Chem. Phys. ibid. 90, 1746 (1989);
6. D. Kosloff and R. Kosloff, J. Comput. Phys. 52, 35 (1983).
7. J. J. Duderstadt and W. R. Martin, Transport Theory (Wiley, New York, 1979);
8. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, MA, 1967);
9. B. Davison, Neutron Transport (Oxford University Press, Oxford, 1957).
10. V. Kourganov, Basic Methods in Transfer Problems (Oxford University Press, Oxford, 1963).
11. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, Berlin, 1988);
12. D. Gottlieb and S. A. Orszag, Numerical Analysis of Spectral Methods (SIAM, Philadelphia, 1977).
13. B. Shizgal, J. Comput. Phys. 41, 309 (1981).
14. R. Blackmore and B. Shizgal, Phys. Rev. A 31, 1855 (1985).
15. B. Shizgal and R. Blackmore, J. Comput. Phys. 55, 313 (1984).
16. G. Mansell, W. Merryfield, B. Shizgal, and U. Weinert, Comput. Meth. Appl. Mech. Engg. 104, 295 (1993);
17. H. H. Yang, B. R. Seymour, and B. D. Shizgal, Comput. Fluids 23, 829 (1994);
18. H. H. Yang and B. Shizgal, Comput. Meth. Appl. Mech. Engg. 118, 47 (1994).
19. J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985).
20. H. Wei and T. Carrington, J. Chem. Phys. 101, 1343 (1994);
21. K. Sakimoto and K. Onda, J. Chem. Phys. ibid. 100, 1171 (1994);
22. S. M. Auerbach and W. H. Miller, J. Chem. Phys. ibid. 100, 1103 (1994);
23. J. K. G. Watson, Can. J. Phys. 72, 238 (1994);
24. V. Szalay, J. Chem. Phys. 99, 1978 (1993);
25. J. Tennyson and J. R. Henderson, J. Chem. Phys. ibid. 91, 3815 (1989);
26. Z. Bacic and J. C. Light, Annu. Rev. Phys. Chem. 40, 469 (1989).
27. M. J. Englefield, Physica A 167, 877 (1990);
28. H. Okamoto, J. Phys. A Math. Gen. 23, 5535 (1990);
29. T. Miyazawa, Phys. Rev. A 39, 1447 (1989);
30. M. J. Englefield, J. Stat. Phys. 52, 369 (1988);
31. H. Risken and K. Voigtlander, Z. Phys. B 54, 253 (1984).
32. R. Dutt, A. Khare, and U. P. Sukhatme, Am. J. Phys. 56, 163 (1988).
33. A. Comtet, A. D. Bandrauk, and D. K. Campbell, Phys. Lett. B 150, 159 (1985).