Ground state of two electrons on concentric spheres

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 5, 2010, Pages

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

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC EXPANSION; CONCENTRIC SPHERES; CONFIGURATION-INTERACTION EXPANSIONS; COULOMB HOLE; ENERGY CORRECTION; MEAN FIELD APPROXIMATION; THIRD-ORDER; UNRESTRICTED HARTREE-FOCK;

ASYMPTOTIC ANALYSIS; ELECTRONIC STRUCTURE; ELECTRONS; GROUND STATE; HARTREE APPROXIMATION; MOLECULAR PHYSICS; SURFACE STRUCTURE; WAVE FUNCTIONS;

SPHERES;

EID: 77953225362     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.052510     Document Type: Article

References (50)

1. P.-F. Loos and P. M. W. Gill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.062517 79, 062517 (2009).
2. P. F. Loos and P. M. W. Gill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.123008 103, 123008 (2009).
3. G. S. Ezra and R. S. Berry, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.1513 25, 1513 (1982).
4. P. C. Ojha and R. S. Berry, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.1575 36, 1575 (1987).
5. R. J. Hinde and R. S. Berry, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.2259 42, 2259 (1990).
6. A. V. Shytov and P. B. Allen, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.74.075419 74, 075419 (2006).
7. P. Hohenberg and W. Kohn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.136.B864 136, B864 (1964).
8. W. Kohn and L. Sham, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140. A1133 140, A1133 (1965).
9. R. G. Parr and W. Yang, Density Functional Theory for Atoms and Molecules (Oxford University Press, Oxford, 1989).
10. M. Seidl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062506 75, 062506 (2007).
11. M. Seidl and P. Gori-Giorgi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.012508 81, 012508 (2010).
12. M. Seidl, J. P. Perdew, and S. Kurth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5070 84, 5070 (2000).
13. M. Moshinsky, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1974410 36, 52 (1968).
14. P.-F. Loos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.032510 81, 032510 (2010).
15. G. S. Ezra and R. S. Berry, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.28.1989 28, 1989 (1983).
16. G. A. Natanson, G. S. Ezra, G. Delgado Barrio, and R. S. Berry, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448091 81, 3400 (1984).
17. G. A. Natanson, G. S. Ezra, G. Delgado Barrio, and R. S. Berry, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.450411 84, 2035 (1986).
18. M. P. Deskevich and D. J. Nesbitt, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1940613 123, 084304 (2005).
19. M. P. Deskevich, A. B. McCoy, J. M. Hutson, and D. J. Nesbitt, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2828478 128, 094306 (2008).
20. C. Møller and M. S. Plesset, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.46.618 46, 618 (1934).
21. J. Cizek and L. Paldus, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1701562 47, 3976 (1967).
22. L. Paldus and J. Cizek, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1673419 52, 2919 (1970).
23. R. Seeger and J. Pople, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.434318 66, 3045 (1977).
24. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Dover, New York, 1972).
25. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1957).
26. E. Wigner, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.46.1002 46, 1002 (1934).
27. A. Alavi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1316045 113, 7735 (2000).
28. D. C. Thompson and A. Alavi, Phys. Rev. B JCPSA6 1098-0121 10.1103/PhysRevB.66.235118 66, 235118 (2002).
29. D. C. Thompson and A. Alavi, Phys. Rev. B JCPSA6 1098-0121 10.1103/PhysRevB.69.201302 69, 201302 (R) (2004).
30. D. C. Thompson and A. Alavi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1869978 122, 124107 (2005).
31. J. C. Slater, Quantum Theory of Atomic Structures (McGraw-Hill, New York, 1960), Vol. 2 of International Series in Pure and Applied Physics.
32. P.-F. Loos and P. M. W. Gill, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3275519 131, 241101 (2009).
33. J. F. Dobson, A. White, and A. Rubio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.073201 96, 073201 (2006).
34. L. Lewin, Dilogarithms and Associated Functions (Macdonald, London, 1958).
35. M. Seidl, J. P. Perdew, and M. Levy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.51 59, 51 (1999).
36. M. Seidl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.4387 60, 4387 (1999).
37. M. Seidl, P. Gori-Giorgi, and A. Savin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.042511 75, 042511 (2007).
38. P. Gori-Giorgi, G. Vignale, and M. Seidl, J. Chem. Theor. Comput. PLRAAN 1549-9618 10.1021/ct8005248 5, 743 (2009).
39. P. Gori-Giorgi, M. Seidl, and G. Vignale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.166402 103, 166402 (2009).
40. T. Kato, Commun. Pure Appl. Math. PRLTAO 0010-3640 10.1002/cpa.3160100201 10, 151 (1957).
41. C. A. Coulson and A. H. Neilson, Proc. Phys. Soc. London PPSOAU 0370-1328 10.1088/0370-1328/78/5/328 78, 831 (1961).
42. J. K. Pearson, P. M. W. Gill, J. Ugalde, and R. J. Boyd, Mol. Phys. MOPHAM 0026-8976 10.1080/00268970902740563 107, 1089 (2009).
43. M. C. Per, S. P. Russo, and I. K. Snook, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3098353 130, 134103 (2009).
44. J. Sun, J. Chem. Theor. Comput. JCPSA6 1549-9618 10.1021/ct800515w 5, 708 (2009).
45. P. M. W. Gill, D. L. Crittenden, D. P. O'Neill, and N. A. Besley, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b511472a 8, 15 (2006).
46. E. E. Dumont, D. L. Crittenden, and P. M. W. Gill, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b709513a 9, 5340 (2007).
47. D. L. Crittenden and P. M. W. Gill, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2746028 127, 014101 (2007).
48. D. L. Crittenden, E. E. Dumont, and P. M. W. Gill, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2795694 127, 141103 (2007).
49. Y. A. Bernard, D. L. Crittenden, and P. M. W. Gill, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b803919d 10, 3447 (2008).
50. J. K. Pearson, D. L. Crittenden, and P. M. W. Gill, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3122422 130, 164110 (2009).