Group theory and its application to the quantum mechanics of atomic spectra /
[Book]
Eugene P. Wigner ; translated from the German by J.J. Griffin.
Expanded and improved ed.
New York :
Academic Press,
1959.
372 p. :
ill. ;
24 cm.
Pure and applied physics,
v. 5
Includes subject index.
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.