DISCRETE SYMMETRIES AND SEMICLASSICAL QUANTIZATION

With the help of a graph and an associated adjacency matrix the proble m of semiclassical quantization is discussed for physical systems with a discrete symmetry. A general expression for the symmetry-reduced ze ta-functions is derived in terms of symmetry-reduced moments of the ad jacency operator. As an application the uniform semiclassical quantiza tion conditions of the Hecht Hamiltonian are discussed within this app roach.