Density-matrix theory for the ground state of spin-compensated harmonically confined two-electron model atoms with general interparticle repulsion

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 3, 2009, Pages

  Akbari, Ali ^a   March, Norman H ^a,c,d   Rubio, Angel ^a,b  

^a CSIC   (Spain)

^b FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

^c UNIVERSITY OF ANTWERP   (Belgium)

^d UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC NUMBERS; DENSITY MATRIX; ELECTRON DENSITIES; EULER-LAGRANGE EQUATIONS; FIRST-ORDER; GROUND-STATE ELECTRONS; HARMONIC CONFINEMENT; HE-LIKE IONS; INTERPARTICLE REPULSIONS; NONRELATIVISTIC; PROBABILITY DENSITIES; RELATIVE MOTION WAVE; SPECIFIC EQUATIONS; THEORETICAL STUDY; THIRD-ORDER; TWO-ELECTRON ATOMS; TWO-ELECTRON MODEL ATOMS;

ATOMS; CARRIER CONCENTRATION; ELECTRON DENSITY MEASUREMENT; EQUATIONS OF MOTION; GROUND STATE; HELIUM; INTEGRODIFFERENTIAL EQUATIONS; MATRIX ALGEBRA; PROBABILITY DENSITY FUNCTION; WAVE FUNCTIONS;

ELECTRONS;

EID: 70349089601     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.032509     Document Type: Article

References (16)

1. N. H. March and W. H. Young, Proc. Phys. Soc. London 72, 182 (1958). 10.1088/0370-1328/72/2/302
2. L. Delle Site, J. Phys. A 39, 3047 (2006). 10.1088/0305-4470/39/12/013
3. P. A. M. Dirac, Proc. Cambridge Philos. Soc. 26, 376 (1930). 10.1017/S0305004100016108
4. A. Holas, I. A. Howard, and N. H. March, Phys. Lett. A 310, 451 (2003). 10.1016/S0375-9601(03)00408-0
5. A. Akbari, N. H. March, and A. Rubio, Phys. Rev. A 76, 032510 (2007). 10.1103/PhysRevA.76.032510
6. N. H. March, A. Akbari, and A. Rubio, Phys. Lett. A 370, 509 (2007). 10.1016/j.physleta.2007.05.097
7. N. H. March, J. Negro, and L. M. Nieto, J. Phys. A 39, 3741 (2006). 10.1088/0305-4470/39/14/016
8. A. Holas and N. H. March, Phys. Rev. A 51, 2040 (1995). 10.1103/PhysRevA.51.2040
9. M. Moshinsky, Am. J. Phys. 36, 52 (1968). 10.1119/1.1974410
10. C. F. von Weizsäcker, Z. Phys. 2, 376 (1935).
11. C. Schwartz, Ann. Phys. (N.Y.) 6, 156 (1959). 10.1016/0003-4916(59)90032- 6
12. T. Gál, N. H. March, and Á. Nagy, Chem. Phys. Lett. 305, 429 (1999). 10.1016/S0009-2614(99)00384-X
13. N. H. March, Phys. Lett. A 306, 63 (2002). 10.1016/S0375-9601(02)01598-0
14. R. Crandall, R. Whitnell, and R. Bettega, Am. J. Phys. 52, 438 (1984). 10.1119/1.13650
15. P. Capuzzi, N. H. March, and M. P. Tosi, J. Phys. A 38, L439 (2005). 10.1088/0305-4470/38/24/L01
16. G. B. Arfken and H. J. Weber, Mathematical Methods for Physics, 5th ed. (Academic, New York, 2001), p. 855.