On the acceleration of the convergence of singular operators in Gaussian basis sets
J. Chem. Phys. 122, 184101 (2005); doi:10.1063/1.1888572
Published 6 May 2005
You are not logged in to this journal. Log in
Gaussian type wave functions do not reproduce the interparticle cusps which result in a slow convergence of the expectation values of the operators involved in calculations of the relativistic and QED energy corrections. Methods correcting this deficiency are the main topic discussed in this paper. Benchmark expectation values of the singular operators for several few-electron systems are presented.
©2005 American Institute of Physics
| History: | Received 28 January 2005; accepted 17 February 2005; published 6 May 2005 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/122/184101/1 |
REFERENCES (31)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- W. Cencek and W. Kutzelnigg, J. Chem. Phys. 105, 5878 (1996).
- W. Cencek and J. Rychlewski,
Chem. Phys. Lett. 320, 549 (2000) . - J. Komasa, J. Rychlewski, and K. Jankowski, Phys. Rev. A 65, 042507 (2002).
- J. Komasa and W. Cencek, in Computational Methods in Science and Technology (Scientific Publishers OWN, Pozna
, 2003), vol. 9, p. 79. - J. Komasa, W. Cencek, and J. Rychlewski, in Computational Methods in Science and Technology (Scientific Publishers OWN, Pozna
, 1996), vol. 2, p. 87. - J. Rychlewski and J. Komasa, in Explicitly Correlated Wave Functions in Chemistry and Physics, edited by J. Rychlewski (Kluwer Academic, Dordrecht, 2003), p. 91.
- J. Komasa, J. Chem. Phys. 115, 158 (2001).
- W. Cencek, K. Szalewicz, and B. Jeziorski, Phys. Rev. Lett. 86, 5675 (2001).
- W. Cencek, in Ref. 6, p. 347.
- K. Pachucki and J. Komasa, Phys. Rev. A 68, 042507 (2003).
- K. Pachucki and J. Komasa, Phys. Rev. Lett. 92, 213001 (2004).
- K. Pachucki and J. Komasa,
Chem. Phys. Lett. 389, 209 (2004) . - K. Pachucki and J. Komasa, Phys. Rev. A 70, 022513 (2004).
- W. Kutzelnigg,
Theor. Chim. Acta 68, 445 (1985) . - W. Kutzelnigg and W. Klopper, J. Chem. Phys. 94, 1985 (1991).
- R. J. Drachman,
J. Phys. B 14, 2733 (1981) . - K. Singer,
Proc. R. Soc. London, Ser. A 258, 412 (1960) . - J. Komasa, W. Cencek, and J. Rychlewski, Phys. Rev. A 52, 4500 (1995).
- J. Komasa and J. Rychlewski,
Mol. Phys. 91, 909 (1997) . - J. Komasa, J. Chem. Phys. 110, 7909 (1999).
- W. Cencek, J. Komasa, and J. Rychlewski, in Handbook on Parallel and Distributed Processing (Springer, Berlin, 2000), p. 505.
- L. Lewin, Polylogarithms and Associated Functions (Elsevier North Holland, Amsterdom, 1981).
- B. Jeziorski and K. Szalewicz, Phys. Rev. A 19, 2360 (1979).
- G. W. Drake,
Nucl. Instrum. Methods Phys. Res. B 31, 7 (1988) . - G.W. Drake (private communication).
- K. Pachucki and J. Sapirstein,
J. Phys. B 33, 455 (2000) . - Z.-C. Yan and G. W. F. Drake, Phys. Rev. A 61, 022504 (2000).
- C. F. Bunge,
Int. J. Quantum Chem. 12, 343 (1977) . - R. O. Esquivel and A. V. Bunge,
Int. J. Quantum Chem. 32, 295 (1987) . - L. Wolniewicz, J. Chem. Phys. 99, 1851 (1993).
- J. Komasa, Phys. Rev. A 65, 012506 (2002).




a 69, 00-681 Warsaw, Poland
, Poland



