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Abstract: We present an approach to calculating the quantum resonances and resonancewave functions of chaotic scattering systems, based on the construction ofstates localized on classical periodic orbits and adapted to the dynamics.Typically only a few of such states are necessary for constructing a resonance.Using only short orbits with periods up to the Ehrenfest time, we obtainapproximations to the longest living states, avoiding computation of thebackground of short living states. This makes our approach considerably moreefficient than previous ones. The number of long lived states produced withinour formulation is in agreement with the fractal Weyl law conjectured recentlyin this setting. We confirm the accuracy of the approximations using the openquantum baker map as an example.



Author: M. Novaes, J.M. Pedrosa, D. Wisniacki, G.G. Carlo, J.P. Keating

Source: https://arxiv.org/



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