Exterior complex scaling and the computation of continuum-continuum transition matrix elements involving converging or diverging operators

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 32, Issue 13, 1999, Pages 3117-3134

  Chrysos, Michael ^a   Fumeron, Mickaël ^a  

^a UNIVERSITÉ D'ANGERS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ELECTRON RESONANCE; ELECTRON SCATTERING; FUNCTIONS; GRAPH THEORY; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA;

HAMILTONIAN; TRANSITION MATRIX ELEMENTS;

ELECTRON TRANSITIONS;

EID: 6544281567     PISSN: 09534075     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-4075/32/13/303     Document Type: Article

References (49)

1. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (Washington, DC: US Govt Printing Office)
2. Agostini P, Fabre F and Petite G 1984 Multiphoton Ionization of Atoms ed S L Chin and P Lambropoulos (Orlando, FL: Academic) pp 133-54
3. Alder K, Bohr A, Huus T, Mottelson B and Winther A 1956 Rev. Mod. Phys. 28 432
4. Ancarani L U and Hervieux P A 1998, Phys. Rev. A 58 336
5. Ancarani L U, Keller S, Ast H, Whelan C T, Walters H R J and Dreizler R M 1998 J. Phys. B: At. Mol. Opt. Phys. 31 609
6. Atabek O and Lefebvre R 1980 Phys. Rev. A 22 1817
7. Aymar M and Crance M 1980 J. Phys. B: At. Mol. Phys. 13 1287
8. _ 1981 J. Phys. B: At. Mol. Phys. 14 3585
9. Bachmann M, Halabuka Z and Trautmann D 1995 J. Phys. B: At. Mol. Opt. Phys. 28 631
10. Basile A G, Gray C G, Nickel B G and Poll J D 1989 Mol. Phys. 66 961
11. Bell K L and Berrington K A 1987 J. Phys. B: At. Mol. Phys. 20 801
12. Bell K L, Berrington K A and Croskery J P 1982 J. Phys. B: At. Mol. Phys. 15 977
13. Burgess A 1974 J. Phys. B: At. Mol. Phys. 7 L364
14. Bylicki M 1991 J. Phys. B: At. Mol. Opt. Phys. 24 413
15. Chrysos M 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1391
16. Chrysos M, Atabek O and Lefebvre R 1993 Phys. Rev. A 48 3855
17. Chrysos M, Gaye O and Le Duff Y 1996 J. Phys. B: At. Mol. Opt. Phys. 29 583
18. Chrysos M, Komninos Y, Mercouris Th and Nicolaides C A 1990 Phys. Rev. A 42 2634
19. Chrysos M and Lefebvre R 1993 J. Phys. B: At. Mol. Opt. Phys. 26 2627
20. Chrysos M, Lefebvre R and Atabek O 1994 J. Phys. B: At. Mol. Opt. Phys. 27 3005
21. Conneely M J and Geltman S 1981 J. Phys. B: At. Mol. Phys. 14 4847
22. Delone N B, Goreslavsky S P and Krainov V P 1989 J. Phys. B: At. Mol. Opt. Phvs. 22 2941
23. Doolen G 1975 J. Phys. B: At. Mol. Phys. 8 525
24. Edwards M, Tang X, Lambropoulos P and Shakeshaft R 1986 Phys. Rev. A 33 4444
25. Edwards M, Tang X and Shakeshaft R 1987 Phys. Rev. A 35 3758
26. Feshbach H 1962 Ann. Phys., NY 19 287
27. Friedrich H 1991 Theoretical Atomic Physics (Berlin: Springer)
28. Frommhold L 1993 Collision Induced Absorption in Gases (Cambridge: Cambridge University Press)
29. Gao B and Starace A F 1987 Comput. Phys. Nov/Dec 70
30. Gaye O, Chrysos M, Teboul V and Le Duff Y 1997 Phys. Rev. A 55 3484
31. Głaz W, Yang J, Poll J D and Gray C G 1994 Chem. Phys. Lett. 218 183
32. Grochmalicki J, Kuklinski J R and Lewenstein M 1986 J. Phys. B: At. Mol. Phys. 19 3649
33. Gyarmati B and Vertse T 1971 Nucl. Phys. A 160 523
34. Hochstadt H 1986 The Functions of Mathematical Physics (New York: Dover)
35. Kukulin V I, Krasnopolsky V M and Horacek J 1989 Theory of Resonances: Principles and Applications (Dordrecht: Kluwer)
36. Landau L D and Lifshitz E M 1958 Quantum Mechanics, Nonrelativistic Theory (Reading, MA: Addison-Wesley)
37. Lefebvre R 1988 J. Phys. B: At. Mol. Opt. Phys. 21 L709
38. Moiseyev N 1998 Phys. Rep. 302 211-93
39. Moiseyev N, Certain P R and Weinhold F 1978 Int. J. Quantum Chem. 14 727
40. Nicolaides C A and Beck D R 1978 Phys. Lett. A 65 11
41. Nicolaides C A, Gotsis H J, Chrysos M and Komninos Y 1990 Chem. Phys. Lett. 168 570
42. Numerov B 1933 Publ. Observatoire Central Astrophys. Russ. 2 188
43. Peskin U and Moiseyev N 1992 J. Chem. Phys. 97 6443
44. Pratt R H 1983 Fundamental Processes in Energetic Atomic Collisions ed H O Lutz, J S Briggs and H Kleinpoppen (New York: Plenum) pp 145-82
45. Rom N, Moiseyev N and Lefebvre R 1991 J. Chem. Phys. 95 3562
46. Sil N C, Crees M A and Seaton M J 1984 J. Phys. B: At. Mol. Phys. 17 1
47. Simon B 1979 Phys. Lett. A 71 211
48. Stilley J L and Callaway J 1910 Astrophys. J. 160 245
49. Yang J, Gray C G, Nickel B G, Poll J D and Basile A G 1990 Chem. Phys. Lett. 175 105