Skip to main content
    • Aa
    • Aa

Wave Functions of Many-Electron Atoms

  • J. E. Lennard-Jones (a1)

1. The wave function of an atom containing many electrons has not yet been solved completely, even that of helium being as yet unknown. In the absence of a direct solution of the Schrödinger equation for the electrons in an atom, various attempts have been made to devise approximate methods of solution in particular cases. The particular case of helium, being the easiest, has received considerable attention and a number of approximate wave functions appropriate to the normal state have been constructed. These functions usually contain empirical constants which are adjusted to make the energy of the system a minimum. Zener has attempted the more ambitious programme of finding the wave functions of all the atoms in the first period of the Periodic Table (Lithium to Neon), and has made interesting discoveries as to the way in which the wave functions differ from atom to atom. This work also is based on the variation of parameters.

Hide All
Hylleraas , Zeits. f. Physik, Vol. 54, p. 347 (1929)

Slater , Physical Review, Vol. 32, p. 349 (1928)

Zener , Physical Review, Vol. 36, p. 51 (1930)

Slater , Physical Review, Vol. 36, p. 57 (1930)

Hartree , Proc. Camb. Phil. Soc., Vol. 24, pp. 89, 111 (1928)

Fock , Zeits. f. Physik, Vol. 61, p. 126 (1930).

Dirac , Proc. Camb. Phil. Soc., Vol. 26, p. 376 (1930)

Dirac , Proc. Roy. Soc., Vol. 112, p. 661 (1926)

Slater , Phys. Review, Vol. 34, p. 1293 (1929)

Hund , Linienspektren u. periodisches System der Elemente, Springer (1927)

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 22 *
Loading metrics...

Abstract views

Total abstract views: 173 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 19th October 2017. This data will be updated every 24 hours.