Abstract
The authors derive generalizations of the trace formula of Gutzwiller (1967) and Balian and Bloch (1970) that are valid in the presence of a non-Abelian continuous symmetry. The usual trace formula must be modified in such cases because periodic orbits occur in continuous families, whereas the usual trace formula requires that the periodic orbits be isolated at a given energy. These calculations extend the results of a previous paper, in which they considered Abelian continuous symmetries. The most important application of the results is to systems with full three-dimensional rotational symmetry, and they give this case special consideration.
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