Exact density matrix for a two-electron model atom and approximate proposals for realistic two-electron systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 2, 2003, Pages

  Amovilli, C ^a   March, N H ^b,c  

^a UNIVERSITY OF PISA   (Italy)

^b UNIVERSITY OF ANTWERP   (Belgium)

^c UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; CARRIER CONCENTRATION; COMPUTER SIMULATION; GROUND STATE; KINETIC ENERGY; OSCILLATORS (ELECTRONIC);

GROUND STATE DENSITY; HARMONIC FORCES; TWO ELECTRON SYSTEMS;

ELECTRONS;

EID: 0038641841     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. A. Holas and N.H. March, Phys. Rev. A 51, 2040 (1995).
2. R.G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford University Press, Oxford, 1989).
3. M. Levy and N.H. March, Phys. Rev. A 55, 1885 (1997).
4. S. Goedecker and C.J. Umrigar, Phys. Rev. Lett. 81, 866 (1998).
5. A. Holas, Phys. Rev. A 59, 3454 (1999).
6. M. Moshinsky, Am. J. Phys. 36, 52 (1968).
7. N.H. March, I.A. Howard, I. Nagy, and A. Rubio, Phys. Lett. A 288, 101 (2001).
8. G.G. Hall, Adv. Quantum Chem. 1, 241 (1964).
9. C. Amovilli, N.H. March, T. Gál, and Á. Nagy, Int. J. Quantum Chem. 77, 716 (2000).
10. C. Schwartz, Ann. Phys. (N.Y.) 6, 156 (1959).
11. S. Kais, D.R. Herschbach, and R.D. Levine, J. Chem. Phys. 91, 7791 (1989).
12. M. Taut, Phys. Rev. A 48, 3561 (1993).
13. V.I. Korobov, Phys. Rev. A 61, 064503 (2000).
14. T. Gál, N.H. March, and Á. Nagy, Chem. Phys. Lett. 305, 429 (1999).
15. L.D. Landau and E.N. Lifshitz, Quantum mechanics: Nonrelativistic theory (Pergamon Press, London, 1958).
16. E. Clementi, J. Chem. Phys. 38, 2248 (1963)
17. A.J. Coleman, Int. J. Quantum Chem. 63, 23 (1997).
18. D. Mazziotti, J. Chem. Phys. 112, 10 125 (2000).
19. Á. Nagy, Phys. Rev. A 66, 022505 (2002).