https://doi.org/10.1140/epjd/e2004-00079-1
u(2) ⊃ su*(2) ⊃ G symmetry adaptation for powers of E irreducible representations of point groups
1
Laboratoire de Physique de L'Université de
Bourgogne, CNRS, B.P. 47870, 21078 Dijon Cedex, France
2
Physical Chemistry,
ETH-Zürich, 8093 Zürich, Switzerland
Corresponding authors: a Francoise.Michelot@u-bourgogne.fr - b rey@ir.phys.chem.ethz.ch
Received:
23
February
2004
Revised:
8
April
2004
Published online:
22
June
2004
Several problems in molecular spectroscopy involve two degrees of freedom to which a two dimensional irreducible representation of a point group is associated. We show that a unified treatment of such situations can be given within the u(2) representation theory.
PACS: 03.65.Fd – Algebraic methods / 31.15.Hz – Group theory / 33.20.Tp – Vibrational analysis / 33.20.Wr – Vibronic, rovibronic, and rotation-electron-spin interactions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004