Solving the Schrödinger equation of helium and its isoelectronic ions with the exponential integral (Ei) function in the free iterative complement interaction method

Physical Chemistry Chemical Physics

Volumn 10, Issue 30, 2008, Pages 4486-4494

  Kurokawa, Yusaku I ^a   Nakashima, Hiroyuki ^a   Nakatsuji, Hiroshi ^a  

^a JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

HELIUM; ION;

ARTICLE; CHEMISTRY; COMPUTER SIMULATION; ISOELECTRIC POINT; QUANTUM THEORY; TIME;

COMPUTER SIMULATION; HELIUM; IONS; ISOELECTRIC POINT; QUANTUM THEORY; TIME FACTORS;

EID: 47949089133     PISSN: 14639076     EISSN: None     Source Type: Journal    
DOI: 10.1039/b806979b     Document Type: Article

References (35)

1. P. A. M. Dirac Proc. R. Soc. London, Ser. A 1929 123 714
2. E. A. Hylleraas Z. Phys. 1929 54 347
3. T. Kinoshita Phys. Rev. 1957 105 1490
4. A. J. Thakkar T. Koga Theor. Chem. Acc. 2003 109 36
5. J. H. Bartlett, Jr Phys. Rev. 1937 51 661
6. T. H. Gronwall Phys. Rev. 1937 51 655
7. V. A. Fock Izv. Akad. Nauk SSSR, Ser. Fiz 1954 18 161
8. K. Frankowski C. L. Pekeris Phys. Rev. 1966 146 46
9. D. E. Freund B. D. Huxtable J. D. Morgan III Phys. Rev. A 1984 29 980
10. C. Schwartz Int. J. Mod. Phys. E 2006 15 877
11. H. M. Schwartz Phys. Rev. 1956 103 110
12. T. Koga J. Chem. Phys. 1992 96 1276
13. S. P. Goldman Phys. Rev. A 1998 57 R677
14. G. W. F. Drake M. M. Cassar R. A. Nistor Phys. Rev. A 2002 65 054501
15. V. I. Korobov Phys. Rev. A 2002 66 24501
16. H. Nakashima H. Nakatsuji J. Chem. Phys. 2007 127 224104
17. J. S. Sims S. A. Hagstrom Int. J. Quantum Chem. 2002 90 1600
18. H. Nakatsuji J. Chem. Phys. 2000 113 2949
19. H. Nakatsuji Phys. Rev. Lett. 2004 93 030403
20. H. Nakatsuji Phys. Rev. A 2005 65 062110
21. H. Nakatsuji Bull. Chem. Soc. Jpn. 2005 78 1705
22. Y. Kurokawa H. Nakashima H. Nakatsuji Phys. Rev. A 2005 72 062502
23. H. Nakatsuji H. Nakashima Phys. Rev. Lett. 2005 95 050407
24. H. Nakashima H. Nakatsuji J. Chem. Phys. 2008 128 154107
25. H. Nakashima Y. Hijikata H. Nakatsuji J. Chem. Phys. 2008 128 154108
26. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic, New York, 2000
27. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1972
28. S. Moriguchi, K. Utagawa and S. Hitomatsu, Mathematical Formula III, Special Functions, Iwanami, Tokyo, 2005
29. MAPLE, Waterloo Maple Inc., Waterloo, Ontario, Canada, see http://www.maplesoft.com/
30. GNU multiple precision arithmetic library, see http://swox.com/gmp/ and http://www.cs.nyu.edu/exact/core/gmp/
31. S. H. Patil J. Phys. B 1990 23 1
32. H. Nakatsuji Phys. Rev. A 2002 65 052122
33. P. T. A. Galek N. C. Handy W. A. Lester, Jr Mol. Phys. 2006 104 3069
34. K. E. Schmidt J. W. Moskowitz J. Chem. Phys. 1990 93 4172
35. H. Nakatsuji H. Nakashima Y. Kurokawa A. Ishikawa Phys. Rev. Lett. 2007 99 240402