Semiclassical quantization with short periodic orbits

Eduardo G. Vergini; Gabriel Carlo

doi:10.1088/0305-4470/33/25/312

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arXiv · chao-dyn/9904039

Semiclassical quantization with short periodic orbits

Eduardo G. Vergini·Gabriel Carlo

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Abstract

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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Eduardo G. Vergini, Gabriel Carlo. 1999-04-22. Semiclassical quantization with short periodic orbits. https://doi.org/10.1088/0305-4470%2F33%2F25%2F312

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