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"Semiclassical quantization with short periodic orbits"
E.G. Vergini and G.G. Carlo
J. Phys. A: Math. Theor. 33(25) (2000) 4717-4724
We apply a recently developed semiclassical theory of short periodic 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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