Group theory and its application to the quantum mechanics of atomic spectra

Uniform Title: Gruppentheorie. English
Main Author: Wigner, Eugene Paul, 1902-1995.
Other Authors: ScienceDirect (Online service)
Format: eBook
Language: English
German
Published: New York : Academic Press, 1959.
Physical Description: 1 online resource (372 pages) : illustrations.
Edition: Expanded and improved ed.
Series: Pure and applied physics ; v. 5.
Subjects:
Table of Contents:
  • Vectors and matrices
  • Generalizations
  • The principal axis transformation
  • The elements of quantum mechanics
  • Perturbation theory
  • Transformation theory and the bases for the statistical interpretation of quantum mechanics
  • Abstract group theory
  • Invariant subgroups
  • The general theory of representations
  • Continuous groups
  • Representations and eigenfunctions
  • The algebra of representation theory
  • The symmetric group
  • The rotation groups
  • The three-dimensional pure rotation group
  • The representations of the direct product
  • Selection rules and the splitting of spectral lines
  • Partial determination of eigenfunctions from their transformation properties
  • Electron spin
  • The total angular momentum quantum number
  • The fine structure of spectral lines
  • Selection and intensity rules with spin
  • Racah coefficients
  • The building-up principle
  • Time inversion
  • Physical interpretation and classical limits of representation coefficients, three- and six-j symbols.