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Term Energies

  • Egidio Landi Degl’Innocenti
Part of the UNITEXT for Physics book series (UNITEXTPH)

Abstract

In the previous chapter we introduced the nonrelativistic Hamiltonian of a complex atom and we saw how it can be separated into two parts using the central field approximation: a zero order Hamiltonian whose eigenvectors, in general degenerate, are the states belonging to the different configurations, and a “corrective” Hamiltonian containing various terms including, in particular, the Coulomb repulsion between electrons. By neglecting the interaction between configurations, which is equivalent to consider the corrective Hamiltonian as a perturbation of the zero order Hamiltonian, we have seen, in the particular case of the helium atom, how we can express the energies of the terms by means of integrals which involve single particle eigenfunctions relative to the zero order Hamiltonian. In this chapter we generalise the results obtained for the helium atom to any atom, also using perturbation theory. We will obtain general results that can be directly compared with the spectroscopic data. These results, although approximated, constitute the starting point for the development of more sophisticated treatments that are currently used for the detailed analysis of atomic spectra.

Keywords

Matrix Element Quantum Number Coulomb Interaction Helium Atom Angular Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Condon, E.U., Shortley, G.H.: The Theory of Atomic Spectra. Cambridge University Press, Cambridge (1935) Google Scholar

Copyright information

© Springer-Verlag Italia 2014

Authors and Affiliations

  • Egidio Landi Degl’Innocenti
    • 1
  1. 1.Dipartimento di Fisica e AstronomiaUniversità degli Studi di FirenzeFlorenceItaly

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