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Quantum Localization near Bifurcations in Classically Chaotic Systems

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 نشر من قبل Imre Varga
 تاريخ النشر 1999
  مجال البحث فيزياء
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We show that strongly localized wave functions occur around classical bifurcations. Near a saddle node bifurcation the scaling of the inverse participation ratio on Plancks constant and the dependence on the parameter is governed by an Airy function. Analytical estimates are supported by numerical calculations for the quantum kicked rotor.

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