Tensor Operator Algebra in Free Atoms and Ions

  • E. König
  • S. Kremer

Abstract

When considering atomic problems it is usually convenient to operate in spherical polar coordinates rather than in Cartesian coordinates. The spherical harmonics Y jm = |jm〉 then arise in a natural way as the simultaneous eigenfunctions of the Hamiltonian and the operators J 2 and J z of the square of the total angular momentum and of its z component. This fact is intimately related to the transformation properties of the |jm〉 eigenvectors under rotations. The rotation through the infinitesimal angle ε about the z axis of the physical system may be described by the operator6,8
$${R_z}(\varepsilon ) = 1 - i\varepsilon {J_z}$$
(2.1)
.

Keywords

Argon Triad Xenon Tame Krypton 

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Copyright information

© Springer Science+Business Media New York 1977

Authors and Affiliations

  • E. König
    • 1
  • S. Kremer
    • 1
  1. 1.University of Erlangen-NürnbergErlangenWest Germany

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