L2 discretization of sturmian wave functions for Coulomb-like potentials

International Journal of Quantum Chemistry

Volumn 107, Issue 4, 2007, Pages 832-844

  Frapiccini, A L ^a,c   Gonzalez, V Y ^a,c   Randazzo, J M ^a,c   Colavecchia, F D ^b,c   Gasaneo, G ^a,c  

^a UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

^b CENTRO ATÓMICO BARILOCHE   (Argentina)

^c Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

Author keywords

Coulomb potential; Coulomb screened potential; Pollaczek polynomials; Sturmian functions

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR EQUATIONS; POLYNOMIALS;

COULOMB POTENTIAL; COULOMB SCREENED POTENTIAL; POLLACZEK POLYNOMIALS; STURMIAN FUNCTIONS;

FUNCTIONS;

EID: 33846650979     PISSN: 00207608     EISSN: 1097461X     Source Type: Journal    
DOI: 10.1002/qua.21220     Document Type: Article

References (33)

1. Rotenberg, M. Ann Phys NY 1962, 19, 262.
2. Khristenko, S. V. Teor Mat Fiz 1975, 22 31;
3. Engl transl Theor Math Phys 1975, 22, 21.
4. Maquet, A. Phys Rev A 1977, 15, 1088.
5. Macek, J. H.; Ovchinnikov, S. Yu. Phys Rev A 1996, 54, 544.
6. Ovchinnikov, S. Yu.; Macek J. H. Phys Rev A 1997, 55, 3605.
7. Gasaneo, G.; Ovchinnikov, S. Yu.; Macek, J. H. J Phys A 2001, 34, 8941.
8. Gasaneo, G.; Macek, J. H. J Phys B 2002, 35, 2239.
9. Amaya-Tapia, A.; Gasaneo, G.; Ovchinnikov, S. Yu.; Macek, J. H.; Larsen, S. J Math Phys 2004, 45, 3533.
10. Macek, J. H.; Ovchinnikov, S. Yu.; Gasaneo, G. Phys Rev A 2005, 72, 032709.
11. Holøien E. Phys Rev 1956, 104, 1301.
12. Shull, H.; Löwdin, P. O. J Chem Phys 1959, 30, 617.
13. Avery, J. Hyperspherical Harmonics and Generalized Sturmians; Kluwer: Dordrecht, the Netherlands, 2000.
14. Maquet, A.; Veniard, V.; Marian, T. A. J Phys B: At Mol Opt Phys 1998, 31, 3743.
15. Szmytkowski, R. J Phys A: Math Gen 1998, 31, 4963.
16. Gasaneo, G.; Colavecchia, F. D. J Phys A: Math Gen 2003, 36, 8443.
17. Blinder, S. M. Phys Rev A 1984, 29, 1674.
18. Bransden, B. H.; Joachain, C. J. Physics of Atoms and Molecules; 2nd ed.; Prentice-Hall; Englewood Cliffs, NJ, 2003.
19. Abramowitz, M.; Stegun, I. A. Handbook of Mathematical Functions; Dover: New York, 1970.
20. Szegö, G. Orthogonal Polynomials, American Mathematical Society Colloquium Publications, vol 23; American Mathematical Society: Providence, RI, 1939.
21. Erdelyi, A. Higher Transcendental Functions; Vol II; McGraw-Hill, New York, 1953.
22. Andrews, G.; Askey, R.; Roy, R. Encyclopedia of Mathematics and Its Applications 71; Special Functions; Cambridge University Press: New York, 1999.
23. Yamani, H. A.; Reinhardt, W. P. Phys Rev A 1975, 11, 1144.
24. Broad, J. T. Phys Rev A 1978, 18, 1012.
25. Broad, J. T. Phys Rev A 1982, 26, 3078.
26. Broad, J. T. Phys Rev A 1985, 31, 1494.
27. Gersbacher, R.; Broad, J. T. J Phys B 1990, 23, 365.
28. Manakov, N. L.; Maquet, A.; Marmo, S. I.; Szymanowski, C. Phys Lett A 1998, 237, 234.
29. Hermann, M. R.; Langhoff, P. W. Phys Rev A 1983, 28, 1957.
30. Bray, I.; Stelbovics, A. T. Phys Rev A 1992, 46, 6995.
31. McDowell, M. R. C.; Coleman, J. P. Introduction to the Theory of Ion-Atom Collisions; North-Holland: Amsterdam, the Netherlands, 1970.
32. Avery, J.; Avery, J. J Phys Chem A 2004, 108, 8848.
33. Szmytkowski, R. J Phys A: Math Gen 2000, 33, 4553.