Lagrange distributed approximating functional method for the solution of the Schrödinger equation

Chemical Physics Letters

Volumn 284, Issue 1-2, 1998, Pages 56-62

  Zhang, D S ^a   Wei, G W ^a   Kouri, D J ^a   Hoffman, D K ^b  

^a University of Houston   (United States)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032548610     PISSN: 00092614     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2614(97)01360-2     Document Type: Article

References (36)

1. Friesner R. Chem. Phys. Lett. 116:1985;39.
2. Harris D.O., Engerholm G.G., Gwinn W.D. J. Chem. Phys. 43:1965;1515.
3. Shizgal B. J. Comput. Phys. 41:1981;309.
4. Shizgal B., Chen H. J. Chem. Phys. 104:1996;4137.
5. Lill J.V., Parker G.A., Light J.C. Chem. Phys. Lett. 89:1982;483.
6. Echave J., Clary D.C. Chem. Phys. Lett. 190:1992;225.
7. D.W. Schwenke, D.G. Truhlar, in: R. Glowinski, A. Lichnewsky (Eds.), Computing Methods in Applied Sciences and Engineering, SIAM, Philadelphia, 1990.
8. Yang W., Peet A.C. Chem. Phys. Lett. 153:1988;98.
9. Noid D.W., Marcus R.A. J. Chem. Phys. 62:1975;2119.
10. Feit M.D., Fleck J.A. Jr., Steiger A. J. Comput. Phys. 47:1982;412.
11. Kosloff R., Tal-Ezer H. Chem. Phys. Lett. 127:1986;223.
12. D. Neuhauser, J. Chem. Phys. 93 (1990) 2611; 100 (1994) 5076.
13. D. Neuhauser, J. Chem. Phys. 93 (1990) 2611; 100 (1994) 5076.
14. Wyatt R.E. Phys. Rev. E. 51:1995;3643.
15. Braun M., Sofianos S.A., Papageorgiou D.G., Lagaris I.E. J. Comput. Phys. 126:1996;315.
16. O.C. Ziekiewicz, The Finite Element Method in Engineering Science, McGraw-Hill, London, 1971.
17. Lax P.D. Commun. Pure Appl. Math. 6:1953;231.
18. G.E. Forsythe, W.R. Wasow, Finite Difference Method for Partial Differential Equation, Wiley, New York, 1967.
19. Schwenke D.W., Mielke S.L., Truhlar D.G. Theor. Chem. Acta. 79:1991;241.
20. Hoffman D.K., Nayar N., Sharafeddin O.A., Kouri D.J. J. Phys. Chem. 95:1991;8299.
21. Kouri D.J., Zhu W., Ma X., Pettitt B.M., Hoffman D.K. J. Phys. Chem. 96:1992;9622.
22. Hoffman D.K., Marchioro II T.L., Arnold M., Huang Y., Zhu W., Kouri D.J. J. Math. Chem. 20:1996;117.
23. Huang Y., Kouri D.J., Hoffman D.K. Chem. Phys. Lett. 238:1995;387.
24. Zhu W., Huang Y., Kouri D.J., Arnold M., Hoffman D.K. Phys. Rev. Lett. 72:1994;1310.
25. Zhang D.S., Wei G.W., Kouri D.J., Hoffman D.K. J. Chem. Phys. 106:1997;5216.
26. G.W. Wei, D.S. Zhang, D.J. Kouri, D.K. Hoffman, J. Chem. Phys., in press.
27. G.W. Wei, D.S. Zhang, D.J. Kouri, D.K. Hoffman, Comput. Methods Appl. Mech. Engrg., submitted.
28. Zhang D.S., Wei G.W., Kouri D.J., Hoffman D.K. Phys. Fluids. 9:1853;1997.
29. Wei G.W., Zhang D.S., Kouri D.J., Hoffman D.K. Phys. Rev. Lett. 79:1997;775.
30. D.K. Hoffman, G.W. Wei, D.S. Zhang, D.J. Kouri, Phys. Rev. E., submitted; G.W. Wei, S.A. Althorpe, D.J. Kouri, D.K. Hoffman, Phys. Rev. A., submitted.
31. D.K. Hoffman, G.W. Wei, D.S. Zhang, D.J. Kouri, Phys. Rev. E., submitted; G.W. Wei, S.A. Althorpe, D.J. Kouri, D.K. Hoffman, Phys. Rev. A., submitted.
32. R. Paley, N. Wiener, Fourier Transforms in the Complex Domain, Amer. Math. Soc. Colloq. Publs., Ser., vol. 19, Amer. Math. Soc., Providence, RI, 1934.
33. S. Flügge, Practical Quantum Mechanics, Springer-Verlag, New York, Berlin, 1974.
34. Henon M., Heiles C. Astron. J. 69:1964;73.
35. Noid D.W., Koszykowski M.L., Tabor M., Marcus R.A. J. Chem. Phys. 72:1980;6169.
36. Zhu W., Huang Y., Kouri D.J., Chandler C., Hoffman D.K. Chem. Phys. Lett. 217:1993;73.