DYNAMICS ON THE GROUP MANIFOLD AND PATH INTEGRAL

Classical and quantal dynamics on the compact simple Lie group and on a sphere of arbitrary dimensionality are considered. The accuracy of the semiclassical approximation for Green's functions is discussed. Various path integral representations of Green's functions are presented. The special features of these representations due to the compactness and curvature are analysed. Basic results of the theory of Lie algebras and Lie groups used in the main text are presented in the Appendix. Copyright © 1979 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim