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- W2079232601 abstract "The semiclassical contribution of a periodic orbit to the quantum density of states diverges when the orbit bifurcates. In this case one has to apply approximations which are uniformly valid both in and a parameter which describes the distance to the bifurcation. The form of the approximation depends on the repetition number m of the orbit that bifurcates. In a two-dimensional system, the approximations are different for m = 1 up to m = 5, and for they have the same form as for m = 5. In this article, we consider the case which occurs first when an integrable system is perturbed. A uniform approximation for the contribution to the spectral density is derived, which in the limit of large reduces to a sum of semiclassical contributions of isolated periodic orbits." @default.
- W2079232601 created "2016-06-24" @default.
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- W2079232601 date "1996-08-07" @default.
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- W2079232601 title "Uniform approximation for bifurcations of periodic orbits with high repetition numbers" @default.
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- W2079232601 doi "https://doi.org/10.1088/0305-4470/29/15/034" @default.
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