SCOPUS 정보 검색 플랫폼

Volumn 127, Issue 22, 2007, Pages

Solving the Schrödinger equation for helium atom and its isoelectronic ions with the free iterative complement interaction (ICI) method

(2) Nakashima, Hiroyuki b Nakatsuji, Hiroshi a

a Quantum Chemistry Research Institute Kyoto (Japan)

b KYOTO UNIVERSITY (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHODS; NUMERICAL METHODS; SCHRODINGER EQUATION; WAVE FUNCTIONS;

ISOELECTRONIC IONS; ITERATIVE COMPLEMENT INTERACTIONS; LOGARITHM FUNCTIONS;

HELIUM;

EID: 37149045596 PISSN: 00219606 EISSN: None Source Type: Journal
DOI: 10.1063/1.2801981 Document Type: Article

Times cited : (165)

References (36)

1
- 0001629861
- P. A. M. Dirac, Proc. R. Soc. London, Ser. A 123, 714 (1929).
- (1929) Proc. R. Soc. London, Ser. A , vol.123 , pp. 714
- Dirac, P.A.M.¹

2
- 0348215956
- E. A. Hylleraas, Z. Phys. 54, 347 (1929).
- (1929) Z. Phys. , vol.54 , pp. 347
- Hylleraas, E.A.¹

3
- 0000624195
- J. H. Bartlett, Jr., Phys. Rev. 51, 661 (1937).
- (1937) Phys. Rev. , vol.51 , pp. 661
- Bartlett Jr. J., H.¹

4
- 0002468999
- T. H. Gronwall, Phys. Rev. 51, 655 (1937).
- (1937) Phys. Rev. , vol.51 , pp. 655
- Gronwall, T.H.¹

5
- 0001086962
- V. A. Fock, Izv. Akad. Nauk SSSR, Ser. Fiz. 18, 161 (1954).
- (1954) Izv. Akad. Nauk SSSR, Ser. Fiz. , vol.18 , pp. 161
- Fock, V.A.¹

6
- 36149017456
- T. Kinoshita, Phys. Rev. 105, 1490 (1957).
- (1957) Phys. Rev. , vol.105 , pp. 1490
- Kinoshita, T.¹

7
- 36049056189
- K. Frankowski and C. L. Pekeris, Phys. Rev. 146, 46 (1966).
- (1966) Phys. Rev. , vol.146 , pp. 46
- Frankowski, K.¹ Pekeris, C.L.²

8
- 0000544705
- A. J. Thakkar and T. Koga, Phys. Rev. A 50, 854 (1994).
- (1994) Phys. Rev. A , vol.50 , pp. 854
- Thakkar, A.J.¹ Koga, T.²

9
- 0000290161
- S. P. Goldman, Phys. Rev. A 57, R677 (1998).
- (1998) Phys. Rev. A , vol.57 , pp. 677
- Goldman, S.P.¹

10
- 0002785258
- G. W. F. Drake, Phys. Scr., T T83, 83 (1999).
- (1999) Phys. Scr., T , vol.83 , pp. 83
- Drake, G.W.F.¹

11
- 0036577430
- G. W. F. Drake, M. M. Cassar, and R. A. Nistor, Phys. Rev. A 65, 054501 (2002).
- (2002) Phys. Rev. A , vol.65 , pp. 054501
- Drake, G.W.F.¹ Cassar, M.M.² Nistor, R.A.³

12
- 0037147161
- J. S. Sims and S. A. Hagstrom, Int. J. Quantum Chem. 90, 1600 (2002).
- (2002) Int. J. Quantum Chem. , vol.90 , pp. 1600
- Sims, J.S.¹ Hagstrom, S.A.²

13
- 0036702390
- V. I. Korobov, Phys. Rev. A 66, 024501 (2002).
- (2002) Phys. Rev. A , vol.66 , pp. 024501
- Korobov, V.I.¹

14
- 0037292091
- A. J. Thakkar and T. Koga, Theor. Chem. Acc. 109, 36 (2003).
- (2003) Theor. Chem. Acc. , vol.109 , pp. 36
- Thakkar, A.J.¹ Koga, T.²

15
- 33646511750
- C. Schwartz, Int. J. Mod. Phys. E 15, 877 (2006).
- (2006) Int. J. Mod. Phys. e , vol.15 , pp. 877
- Schwartz, C.¹

16
- 84980086883
- T. Kato, Commun. Pure Appl. Math. 10, 151 (1957).
- (1957) Commun. Pure Appl. Math. , vol.10 , pp. 151
- Kato, T.¹

17
- 2442453341
- edited by J.Rychlewski (Kluwer, Dordrecht
- J. Rychlewski and J. Komasa, in Explicitly Correlated Wave Functions in Chemistry and Physics-Theory and Applications, edited by, J. Rychlewski, (Kluwer, Dordrecht, 2003), pp. 91-147.
- (2003) Explicitly Correlated Wave Functions in Chemistry and Physics-Theory and Applications , pp. 91-147
- Rychlewski, J.¹ Komasa, J.²

18
- 0001406593
- C. R. Myers, C. J. Umrigar, J. P. Sethna, and J. D. Morgan III, Phys. Rev. A 44, 5537 (1991).
- (1991) Phys. Rev. A , vol.44 , pp. 5537
- Myers, C.R.¹ Umrigar, C.J.² Sethna, J.P.³ Morgan Iii, J.D.⁴

19
- 0034702692
- 0021-9606 10.1063/1.1287275
- H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1287275 113, 2949 (2000); H. Nakatsuji and E. R. Davidson, J. Chem. Phys. 0021-9606 10.1063/1.1383032 115, 2000 (2001); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1385371 115, 2465 (2001); H. Nakatsuji, Phys. Rev. A 1050-2947 10.1103/PhysRevA.65.052122 65, 052122 (2002); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1430741 116, 1811 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 0021-9606 10.1063/1.1487830 117, 9 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 122, 194108 (2005).
- (2000) J. Chem. Phys. , vol.113 , pp. 2949
- Nakatsuji, H.¹

20
- 0035424445
- 0021-9606 10.1063/1.1383032
- H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1287275 113, 2949 (2000); H. Nakatsuji and E. R. Davidson, J. Chem. Phys. 0021-9606 10.1063/1.1383032 115, 2000 (2001); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1385371 115, 2465 (2001); H. Nakatsuji, Phys. Rev. A 1050-2947 10.1103/PhysRevA.65.052122 65, 052122 (2002); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1430741 116, 1811 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 0021-9606 10.1063/1.1487830 117, 9 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 122, 194108 (2005).
- (2001) J. Chem. Phys. , vol.115 , pp. 2000
- Nakatsuji, H.¹ Davidson, E.R.²

21
- 0035828011
- 0021-9606 10.1063/1.1385371
- H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1287275 113, 2949 (2000); H. Nakatsuji and E. R. Davidson, J. Chem. Phys. 0021-9606 10.1063/1.1383032 115, 2000 (2001); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1385371 115, 2465 (2001); H. Nakatsuji, Phys. Rev. A 1050-2947 10.1103/PhysRevA.65.052122 65, 052122 (2002); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1430741 116, 1811 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 0021-9606 10.1063/1.1487830 117, 9 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 122, 194108 (2005).
- (2001) J. Chem. Phys. , vol.115 , pp. 2465
- Nakatsuji, H.¹

22
- 85035257061
- 1050-2947 10.1103/PhysRevA.65.052122
- H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1287275 113, 2949 (2000); H. Nakatsuji and E. R. Davidson, J. Chem. Phys. 0021-9606 10.1063/1.1383032 115, 2000 (2001); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1385371 115, 2465 (2001); H. Nakatsuji, Phys. Rev. A 1050-2947 10.1103/PhysRevA.65.052122 65, 052122 (2002); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1430741 116, 1811 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 0021-9606 10.1063/1.1487830 117, 9 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 122, 194108 (2005).
- (2002) Phys. Rev. A , vol.65 , pp. 052122
- Nakatsuji, H.¹

23
- 0036470671
- 0021-9606 10.1063/1.1430741
- H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1287275 113, 2949 (2000); H. Nakatsuji and E. R. Davidson, J. Chem. Phys. 0021-9606 10.1063/1.1383032 115, 2000 (2001); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1385371 115, 2465 (2001); H. Nakatsuji, Phys. Rev. A 1050-2947 10.1103/PhysRevA.65.052122 65, 052122 (2002); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1430741 116, 1811 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 0021-9606 10.1063/1.1487830 117, 9 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 122, 194108 (2005).
- (2002) J. Chem. Phys. , vol.116 , pp. 1811
- Nakatsuji, H.¹

24
- 0036640325
- 0021-9606 10.1063/1.1487830
- H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1287275 113, 2949 (2000); H. Nakatsuji and E. R. Davidson, J. Chem. Phys. 0021-9606 10.1063/1.1383032 115, 2000 (2001); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1385371 115, 2465 (2001); H. Nakatsuji, Phys. Rev. A 1050-2947 10.1103/PhysRevA.65.052122 65, 052122 (2002); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1430741 116, 1811 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 0021-9606 10.1063/1.1487830 117, 9 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 122, 194108 (2005).
- (2002) J. Chem. Phys. , vol.117 , pp. 9
- Nakatsuji, H.¹ Ehara, M.²

25
- 34548059739
- H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1287275 113, 2949 (2000); H. Nakatsuji and E. R. Davidson, J. Chem. Phys. 0021-9606 10.1063/1.1383032 115, 2000 (2001); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1385371 115, 2465 (2001); H. Nakatsuji, Phys. Rev. A 1050-2947 10.1103/PhysRevA.65.052122 65, 052122 (2002); H. Nakatsuji, J. Chem. Phys. 0021-9606 10.1063/1.1430741 116, 1811 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 0021-9606 10.1063/1.1487830 117, 9 (2002); H. Nakatsuji and M. Ehara, J. Chem. Phys. 122, 194108 (2005).
- (2005) J. Chem. Phys. , vol.122 , pp. 194108
- Nakatsuji, H.¹ Ehara, M.²

26
- 4344614433
- H. Nakatsuji, Phys. Rev. Lett. 93, 030403 (2004).
- (2004) Phys. Rev. Lett. , vol.93 , pp. 030403
- Nakatsuji, H.¹

27
- 33244483879
- H. Nakatsuji, Phys. Rev. A 65, 062110 (2005).
- (2005) Phys. Rev. A , vol.65 , pp. 062110
- Nakatsuji, H.¹

28
- 33244461334
- H. Nakatsuji, Bull. Chem. Soc. Jpn. 78, 1705 (2005).
- (2005) Bull. Chem. Soc. Jpn. , vol.78 , pp. 1705
- Nakatsuji, H.¹

29
- 33244481522
- Y. Kurokawa, H. Nakashima, and H. Nakatsuji, Phys. Rev. A 72, 062502 (2005).
- (2005) Phys. Rev. A , vol.72 , pp. 062502
- Kurokawa, Y.¹ Nakashima, H.² Nakatsuji, H.³

30
- 27144511137
- H. Nakatsuji and H. Nakashima, Phys. Rev. Lett. 95, 050407 (2005).
- (2005) Phys. Rev. Lett. , vol.95 , pp. 050407
- Nakatsuji, H.¹ Nakashima, H.²

31
- 85066389551
- Solving the Schrödinger equation of atoms and molecules without analytical integration based on the free iterative-complement-interaction wave function
- H. Nakatsuji, H. Nakashima, Y. Kurokawa, and A. Ishikawa, " Solving the Schrödinger equation of atoms and molecules without analytical integration based on the free iterative-complement-interaction wave function., " Phys. Rev. Lett. (in press).
- Phys. Rev. Lett.
- Nakatsuji, H.¹ Nakashima, H.² Kurokawa, Y.³ Ishikawa, A.⁴

32
- 85066361929
- Computer code MAPLE, Waterloo Maple Inc., Waterloo, Ontario, Canada (see http://www.maplesoft.com/).

33
- 85066374100
- About the GMP library, see http://swox.com/gmp/ and http://www.cs.nyu. edu/exact/core/gmp/

34
- 85066375849
- After submitting this manuscript, the referee noted the existence of an e-print at http://arxiv.org/pdf/math-ph/0605018 (2006), in which Schwartz reported an extended calculations of helium atom correct over 44 digits with 24 099 functions.
- (2006)

35
- 33747332263
- A. M. Frolov, Phys. Rev. E 74, 027702 (2006).
- (2006) Phys. Rev. e , vol.74 , pp. 027702
- Frolov, A.M.¹

36
- 85066369193
- H. Nakashima and H. Nakatsuji (unpublished).
- Nakashima, H.¹ Nakatsuji, H.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.