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Further Developments of Angular-Momentum Graphs. Applications to Physical Problems

  • Ingvar Lindgren
  • John Morrison
Part of the Springer Series in Chemical Physics book series (CHEMICAL, volume 13)

Abstract

In this chapter we shall develop the graphical methods of representing angular momentum further by means of a number of theorems, first given by Jucys, Levinson and Vanagas (JLV) [1962]. We shall then use these theorems to derive a general expression for the matrix elements of a tensor-operator product between coupled states in a purely graphical way. Finally, we shall apply these results to an important physical problem—the Coulomb interaction of a two-electron system—in some detail. This example clearly demonstrates the usefulness of the graphical technique in dealing with angular-momentum problems of certain complexity. In a later chapter (Chap. 8)—after having studied the physical properties of atoms more systematically—we shall extend the technique further and apply it to general many-electron systems.

Keywords

Matrix Element Coulomb Interaction Couple State Magnetic Quantum Number Reduce Matrix Element 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • Ingvar Lindgren
    • 1
  • John Morrison
    • 1
  1. 1.Department of PhysicsChalmers University or TechnologyGöteborgSweden

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