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Quasiclassical surface of section perturbation theory

Quasiclassical surface of section perturbation theory

Perturbation theory, the quasiclassical approximation, and the quantum surface of section method are combined. This gives a new solution of the long-standing problem of quantizing the resonances generically appearing in classical perturbation theory. Our method is restricted to two dimensions. In that case, however, the results are simpler, more explicit, …