Discrete symmetries and semiclassical quantization. (English) Zbl 0803.58044

Strunz, W. T.; Alber, G.; Briggs, J. S.

J. Phys. A, Math. Gen. 26, No. 19, 5157-5166 (1993).

Summary: With the help of a graph and an associated adjacency matrix the problem of semiclassical quantization is discussed for physical systems with a discrete symmetry. A general expression for the symmetry-reduced zeta functions is derived in terms of symmetry-reduced moments of the adjacency operator. As an application the uniform semiclassical quantization conditions of the Hecht Hamiltonian are discussed within this approach.

MSC:

37C25	Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
81Q20	Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory

Keywords:

zeta function; semiclassical quantization; discrete symmetry