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General Laws of Optical Transitions

  • Hermann Haken
  • Hans Christoph Wolf
Part of the Advanced Texts in Physics book series (ADTP)

Abstract

Selection rules and symmetry considerations play a basic role in modern physics. This holds for the atomic shells, the nucleus, elementary particles and for many other areas. We shall present only a small but typical sample here, taking up the perturbation theory discussed in Sect. 15.2. We began with the unperturbed wavefunctions φ n . The perturbation Hamiltonian in one example contained the dipole moment ez. In the following, we shall first choose the x coordinate instead of the z coordinate. We became acquainted with matrix elements of the form
$$ H_{mn}^P = \smallint \phi _m^*(r)ex{\phi _n}(r)dV$$
(16.1)
as important parameters. As we observed at that time, there are a number of realistic cases in which matrix elements vanish when the indices m and n are equal, on the basis of symmetry alone. We shall now examine these cases.

Keywords

Matrix Element Dipole Moment Selection Rule Radiation Field SchrOdinger Equation 
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.

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Bibliography

  1. E.U. Condon, G.H. Shortley: The Theory of Atomic Spectra ( Cambridge University Press, Cambridge 1991 )Google Scholar
  2. I.I. Sobelman: Atomic Spectra and Radiative Transitions, Springer Ser. on Atoms and Plasmas, Vol. 12, 2nd corr. ed. ( Springer, Berlin Heidelberg 1997 )Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Hermann Haken
    • 1
  • Hans Christoph Wolf
    • 2
  1. 1.Institut für Theoretische PhysikUniversität StuttgartStuttgartGermany
  2. 2.Physikalisches InstitutUniversität StuttgartStuttgartGermany

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