Invariance of the correlation energy at high density and large dimension in two-electron systems

Physical Review Letters

Volumn 105, Issue 11, 2010, Pages

  Loos, Pierre François ^a   Gill, Peter M W ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION ENERGY; COULOMB POTENTIAL; DIMENSIONAL SPACES; HIGH DENSITY; LARGE DIMENSIONS; SPIN ELECTRONS; THREE DIMENSIONAL SPACE; TWO-ELECTRON SYSTEMS;

ELECTRIC FIELDS;

EID: 77956371629     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.113001     Document Type: Article

References (39)

1. M. Gell-Mann and K.A. Brueckner, Phys. Rev. 106, 364 (1957). PHRVAO 0031-899X 10.1103/PhysRev.106.364
2. H.A. Bethe and E.E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Dover Publications, Inc., Mineola, New York, 1977).
3. R.G. Parr and W. Yang, Density Functional Theory for Atoms and Molecules (Oxford University Press, Oxford, 1989).
4. W. Kutzelnigg, Theor. Chim. Acta 68, 445 (1985). TCHAAM 0040-5744 10.1007/BF00527669
5. H. Nakashima and H. Nakatsuji, J. Chem. Phys. 127, 224104 (2007). JCPSA6 0021-9606 10.1063/1.2801981
6. T. Helgaker, P. Jørgensen, and J. Olsen, Molecular Electronic-Structure Theory (John Wiley & Sons, Ltd., Chichester, 2000).
7. E.A. Hylleraas, Z. Phys. 65, 209 (1930). ZEPYAA 0044-3328 10.1007/BF01397032
8. J. Linderberg, Phys. Rev. 121, 816 (1961). PHRVAO 0031-899X 10.1103/PhysRev.121.816
9. C. Schwartz, Phys. Rev. 126, 1015 (1962). PHRVAO 0031-899X 10.1103/PhysRev.126.1015
10. J.D. Baker, D.E. Freund, R.N. Hill, and J.D. Morgan III, Phys. Rev. A 41, 1247 (1990). PLRAAN 1050-2947 10.1103/PhysRevA.41.1247
11. L.G. Yaffe, Rev. Mod. Phys. 54, 407 (1982). RMPHAT 0034-6861 10.1103/RevModPhys.54.407
12. E. Witten, Phys. Today 33, No. 7, 38 (1980). PHTOAD 0031-9228 10.1063/1.2914163
13. L.G. Yaffe, Phys. Today 36, No. 8, 50 (1983). PHTOAD 0031-9228 10.1063/1.2915799
14. D.J. Doren and D.R. Herschbach, J. Chem. Phys. 87, 433 (1987). JCPSA6 0021-9606 10.1063/1.453588
15. T. Kato, Commun. Pure Appl. Math. 10, 151 (1957). CPMAMV 0010-3640 10.1002/cpa.3160100201
16. J.D. Morgan III, The Dimensional Dependence of Rates of Convergence of Rayleigh-Ritz Variational Calculations on Atoms and Molecules, Dimensional Scaling in Chemical Physics (Kluwer Academic Publishers, Dordrecht, 1993), p. 336.
17. P.-F. Loos and P.M.W. Gill, J. Chem. Phys. 131, 241101 (2009). JCPSA6 0021-9606 10.1063/1.3275519
18. P.-F. Loos and P.M.W. Gill, J. Chem. Phys. 132, 234111 (2010). JCPSA6 0021-9606 10.1063/1.3455706
19. D.R. Herschbach, J. Chem. Phys. 84, 838 (1986). JCPSA6 0021-9606 10.1063/1.450584
20. D.Z. Goodson and D.R. Herschbach, J. Chem. Phys. 86, 4997 (1987). JCPSA6 0021-9606 10.1063/1.452671
21. D.J. Doren and D.R. Herschbach, Phys. Rev. A 34, 2654 (1986). PLRAAN 1050-2947 10.1103/PhysRevA.34.2654
22. D.Z. Goodson, M. López-Cabrera, D.R. Herschbach, and J.D. Morgan III, J. Chem. Phys. 97, 8481 (1992). JCPSA6 0021-9606 10.1063/1.463419
23. D.Z. Goodson and M. López-Cabrera, Low-D Regime: The One-Dimensional Limit, Dimensional Scaling in Chemical Physics (Kluwer Academic Publishers, Dordrecht, 1993), p. 115.
24. J.G. Loeser and D.R. Herschbach, J. Chem. Phys. 86, 2114 (1987). JCPSA6 0021-9606 10.1063/1.452109
25. J.G. Loeser and D.R. Herschbach, J. Chem. Phys. 86, 3512 (1987). JCPSA6 0021-9606 10.1063/1.451954
26. J.G. Loeser, J. Chem. Phys. 86, 5635 (1987). JCPSA6 0021-9606 10.1063/1.452540
27. S. Kais, S.M. Sung, and D.R. Herschbach, J. Chem. Phys. 99, 5184 (1993). JCPSA6 0021-9606 10.1063/1.466020
28. L.D. Mlodinow and N. Papanicolaou, Ann. Phys. (N.Y.) APNYA6 0003-4916 131, 1 (1981). 10.1016/0003-4916(81)90181-0
29. N.R. Kestner and O. Sinanoglu, Phys. Rev. 128, 2687 (1962). PHRVAO 0031-899X 10.1103/PhysRev.128.2687
30. R.J. White and W. Byers Brown, J. Chem. Phys. 53, 3869 (1970). JCPSA6 0021-9606 10.1063/1.1673854
31. S. Kais, D.R. Herschbach, and R.D. Levine, J. Chem. Phys. 91, 7791 (1989). JCPSA6 0021-9606 10.1063/1.457247
32. M. Taut, Phys. Rev. A 48, 3561 (1993). PLRAAN 1050-2947 10.1103/PhysRevA.48.3561
33. G.S. Ezra and R.S. Berry, Phys. Rev. A 25, 1513 (1982). PLRAAN 1050-2947 10.1103/PhysRevA.25.1513
34. M. Seidl, Phys. Rev. A 75, 062506 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.75.062506
35. P.-F. Loos and P.M.W. Gill, Phys. Rev. A 79, 062517 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.062517
36. P.-F. Loos and P.M.W. Gill, Phys. Rev. Lett. 103, 123008 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.123008
37. D.C. Thompson and A. Alavi, Phys. Rev. B PRBMDO 0163-1829 66, 235118 (2002). 10.1103/PhysRevB.66.235118
38. D.C. Thompson and A. Alavi, J. Chem. Phys. 122, 124107 (2005). JCPSA6 0021-9606 10.1063/1.1869978
39. M.O. Elout, D.Z. Goodson, C.D. Elliston, S.-W. Huang, A.V. Sergeev, and D.K. Watson, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 39, 5112 (1998). 10.1063/1.532561