Abstract
We study the classical and quantum scattering of an electron in a cylindrical waveguide with a ripple cavity. The classical electron scattering is chaotic and governed by a heteroclinic tangle formed by the stable and unstable manifolds of periodic orbits sitting at the edges of the ripple cavity. The quantum scattering consists of time-periodic echoes in the transmitted electron probability. The period of the quantum echoes is related to the development parameter of the classical heteroclinic tangle. We show how the heteroclinic tangle and the quantum echoes are influenced by the diameter of the waveguide and also the angular momentum of the incident electron.
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