Singular and nonsingular three-body integrals for exponential wave functions

Journal of Chemical Physics

Volumn 121, Issue 13, 2004, Pages 6323-6333

  Harris, Frank E ^a,b   Frolov, Alexei M ^c   Smith Jr , Vedene H ^c  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

^c QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR MOMENTUM; HYLLERAAS FUNCTIONS; WAVE FUNCTIONS;

EIGENVALUES AND EIGENFUNCTIONS; ELECTRODYNAMICS; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; POLYNOMIALS;

QUANTUM THEORY;

EID: 7044227710     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1786912     Document Type: Article

References (23)

1. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Springer, Berlin, 1957).
2. J. Sapirstein, Rev. Mod. Phys. 70, 55 (1998).
3. G. W. F. Drake, Can. J. Phys. 80, 1195 (2002).
4. K. Pachucki and J. Sapirstein, J. Phys. B 33, 5297 (2000).
5. L. M. Delves and T. Kalotas, Aust. J. Phys. 21, 1 (1968).
6. A. J. Thakkar and V. H. Smith, Jr., Phys. Rev. A 15, 1 (1977).
7. A. M. Frolov and V. H. Smith, Jr., Phys. Rev. A 53, 3853 (1996).
8. F. E. Harris, Adv. Quantum Chem. 47, 128 (2004).
9. F. E. Harris, in Fundamental World of Quantum Chemistry, A Tribute to the Memory of Per-Olov Löwdin, Vol. 3, edited by E. J. Brändas and E. S. Kryachko (Kluwer, Dordrecht, 2004), pp. 115-128.
10. F. E. Harris, A. M. Frolov, and V. H. Smith, Jr., J. Chem. Phys. 120, 9974 (2004).
11. W. Squire, Integration for Scientists and Engineers (Elsevier, New York, 1970).
12. D. Zwillinger, Handbook of Integration (Jones & Bartlett, Boston, 1992).
13. Z.-C. Yan and G. W. F. Drake, Can. J. Phys. 72, 822 (1994).
14. G. W. F. Drake, in Atomic, Molecular, & Optical Physics Handbook, edited by G. W. F. Drake, (AIP, Woodbury, NY, 1996), pp. 154-171.
15. R. A. Sack, C. C. J. Roothaan, and W. Kolos, J. Math. Phys. 8, 1093 (1967).
16. J.-L. Calais and P.-O. Löwdin, J. Mol. Spectrosc. 8, 203 (1962).
17. V. I. Korobov, J. Phys. B 35, 1959 (2002).
18. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972).
19. A product of Waterloo Maple Inc., Waterloo, Ontario, Canada (see: http://www.maplesoft.com).
20. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. (Academic, New York, 2000).
21. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, (Gordon and Breach, New York, 1986), Vol. 1.
22. L. Lewin, Polylogarithms and Associated Functions (North-Holland, Amsterdam, 1981).
23. F. E. Harris, Phys. Rev. A 55, 1820 (1997).