Semiclassical quantization with short periodic orbits

Details Semiclassical quantization with short periodic orbits Semiclassical quantization with short periodic orbits

1999-04-22

arxiv.org/abs/chao-dyn/9904039v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 ps figures, 3 extra ps figures available on request to the authors

Scientific paper

10.1088/0305-4470/33/25/312

We apply a recently developed semiclassical theory of short peridic orbits to the stadium billiard. We give explicit expresions for the resonances of periodic orbits and for the application of the semiclassical Hamiltonian operator to them. Then, by using the 3 shortest periodic orbits and 2 more living in the bouncing ball region, we obtain the first 25 odd-odd eigenfunctions with surprising accuracy.

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