Particular and homogeneous solutions of time-independent wavepacket Schrödinger equations: Calculations using a subset of eigenstates of undamped or damped Hamiltonians

Theoretical Chemistry Accounts

Volumn 104, Issue 6, 2000, Pages 471-483

  Iyengar, Srinivasan S ^a,c   Kouri, Donald J ^a   Hoffman, David K ^b  

^a University of Houston   (United States)

^b IOWA STATE UNIVERSITY   (United States)

^c RICE UNIVERSITY   (United States)

Author keywords

Distributed approximating functionals; Eigen function calculations of scattering amplitudes; Spectral density operator; Time independent wavepackets

Indexed keywords

EID: 0034422460     PISSN: 1432881X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002140000175     Document Type: Article

References (60)

1. Zhang DH, Zhang JZH (1996) In: Wyatt RE, Zhang JZH (eds) Dynamics of molecules and chemical reactions. Dekker, New York, pp 231-276
2. Neuhauser D, Judson RS, Baer M, Kouri DJ (1994) In: Bowman JM (eds) Advances in molecular vibrations and collision dynamics, vol 2B. Jai, Greenwich, Conn., pp 27-44
3. Kosloff R (1994) Annu Rev Phys Chem 45: 145
4. Mowrey RC, Kouri DJ (1986) J Chem Phys 84: 6466
5. Goldberger ML, Watson KM (1964) Collision theory. Wiley, New York
6. Lippmann BA, Schwinger J (1950) Phys Rev 79: 469
7. (a)Kouri DJ, Arnold M, Hoffman DK (1993) Chem Phys Lett 203: 166
8. (a) Huang Y, Zhu W, Kouri DJ, Hoffman DK (1993) Chem Phys Lett 206: 96:
9. (b) Huang Y, Zhu W, Kouri DJ, Hoffman DK (1993) Chem Phys Lett 213: 209
10. Zhu W, Huang Y, Kouri DJ, Arnold M, Hoffman DK (1994) Phys Rev Lett 72: 1310
11. Hoffman DK, Huang Y, Zhu W, Kouri DJ (1994) J Chem Phys 101: 1242
12. Kouri DJ, Huang Y, Zhu W, Hoffman DK (1994) J Chem Phys 100: 3662
13. Hoffman DK, Kouri DJ, Top ZH (1979) J Chem Phys 70: 4640
14. Evans JW, Hoffman DK, Kouri DJ (1983) J Math Phys 24: 576
15. Fano U (1964) In: Cainiello ER (ed) Lectures on the many-body problem, vol 2. Academic, New York, p 217
16. Fano U (1963) Phys Rev 131: 259
17. Newton RG (1982) Scattering theory of waves and particles. Springer. Berlin Heidelberg New York
18. Bender CM, Orzag SA (1978) Advanced mathematical methods for scientists and engineers. McGraw-Hill, New York
19. Jang HW, Light JC (1995) J Chem Phys 102: 3262
20. (a) Mandelshtam VA, Taylor HS (1995) J Chem Phys 102: 7390
21. (b) Mandelshtam VA, Taylor HS (1995) J Chem Phys 103: 2903
22. (a) Chen R, Guo H (1996) J Chem Phys 105: 1311;
23. (b) Chen R, Guo H (1996) J Chem Phys 105: 3596
24. Hoffman DK, Nayar N, Sharafeddin OA, Kouri DJ (1991) J Phys Chem 95: 8299
25. Hoffman DK, Kouri DJ (1992) J Phys Chem 96: 1179
26. Kouri DJ, Zhu W, Ma X, Pettitt BM, Hoffman DK (1992) J Phys Chem 96: 9622
27. Kouri DJ, Hoffman DK (1992) J Phys Chem 96: 9631
28. Hoffman DK, Arnold M, Kouri DJ (1992) J Phys Chem 96: 6539
29. Hoffman DK, Marchioro TL II, Arnold M, Huang Y, Zhu W, Kouri DJ (1996) J Math Chem 20: 117
30. Wei GW, Zhang DS, Kouri DJ, Hoffman DK (1997) Phys Rev Lett 79: 775
31. Zhang DS, Wei GW, Kouri DJ, Hoffman DK (1998) Chem Phys Lett 284: 56
32. Wei GW, Althorpe SC, Zhang DS, Kouri DJ, Hoffman DK (1998) Phys Rev A 57: 3309
33. Hoffman DK, Wei GW, Zhang DS, Kouri DJ (1998) Chem Phys Lett 287: 119
34. Iyengar SS, Parker GA, Kouri DJ, Hoffman DK (1999) J Chem Phys 110: 10283
35. Iyengar SS (1998) PhD thesis. University of Houston
36. (a) Hartke B, Kosloff R, Ruhman S (1986) Chem Phys Lett 158: 223;
37. (b) Baer R, Kosloff R (1992) Chem Phys Lett 200: 183
38. Kosloff R (1998) J Phys Chem 92: 2087
39. Iyengar SS, Kouri DJ, Parker GA, Hoffman DK. Theor Chem Ace (in press)
40. Abramowitz M, Stegan IA (eds) (1964) Handbook of mathematical functions. U.S. Government Printing Office, Washington, DC
41. Huang Y, Iyengar SS, Kouri DJ, Hoffman DK (1996) J Chem Phys 105: 927
42. Huane Y, Kouri DJ, Hoffman DK (1994) Chem Phys Lett 225: 37
43. Huang Y, Kouri DJ, Hoffman DK (1994) J Chem Phys 101: 10493
44. Stechel EB, Walker RB, Light JC (1978) J Chem Phys 69: 3518
45. Daubechies I (1992) Ten lectures in wavelets. SIAM, Philadelphia
46. Powell JL, Crasemann B (1961) Quantum mechanics. Addison-Wesley Reading, Mass
47. Neuhauser D, Baer M, Judson RS, Kouri DJ (1990) J Chem Phys 93: 312
48. Seideman T, Miller WH (1992) J Chem Phys 96: 4412
49. Vibok A, Balint-Kurti GG (1992) J Chem Phys 96: 7615
50. Anderson E, Bai Z, Bischof CH, Denimel J, Dongarra JJ, Du Croz J, Greenbaum A, Hammerling S, Mckenney A, Ostrouchov S, Sorensen DC (1992) LAPACK user's guide. SIAM. Philadelphia
51. Chandler C, Gibson AG (1999) J Approx Theory 100: 233
52. Sorensen DC (1992) Soc Ind Appl Math J Matr Anal Appl 13: 357
53. Parlett BN, Saad Y (1987) Lin Alg Appl 88/89: 575-595
54. Nauts A, Wyatt RE (1983) Phys Rev Lett 51: 2238
55. Zhu W, Huang Y, Kouri DJ, Chandler C, Hoffman DK (1994) Chem Phys Lett 217: 73
56. Parker GA, Zhu W, Huang Y, Hoffman DK, Kouri DJ (1996) Comput Phys Commun 96: 27
57. Huang Y, Kouri DJ, Hoffman DK (1999) J Chem Phys 110: 8303
58. Neuhauser D (1994) J Chem Phys 100: 5076
59. Chen R, Guo H (1997) Chem Phys Lett 277: 191
60. Mandelshtam VA, Taylor HS, Miller WH (1996) J Chem Phys 105: 496