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Playing Billiards with Microwaves - Quantum Manifestations of Classical Chaos

Speaker: 
Prof. Achim Richter
Date: 
Wed, 23/11/2011 - 12:00pm to 1:00pm
Location: 
Physics Conference Room, S13 M01-11/12
Event Type: 
Seminars

Abstract:

Sufficiently flat microwave resonators shaped in the form of billiards are
particularly well suited to study the quantum mechanical behavior of classically
chaotic systems because of the formal equivalence of the respective wave equations,
i.e. the Helmholtz and the Schroedinger equation. With superconducting resonators
characterized by high quality factors it has become possible for the first time to
measure the spectrum of eigenmodes and their eigenfunctions completely and to
determine their statistical properties. Two-dimensional billiard systems (stadium,
mushroom, etc.) of different chaoticity are discussed and it is shown that they
display universal features which are also evident in real mesoscopic systems of
different scales, i.e. hadrons, nuclei, atoms, molecules, clusters. Special emphasis
is placed on properties of measured spectra and wavefunctions, and on so called
Friedel oscillations, known also from surface and condensed matter physics. Finally,
chaotic scattering in microwave billiards is considered for time reversal invariant
and non-invariant systems, respectively.

 

See also:

http://en.wikipedia.org/wiki/Achim_Richter

 

The office of Prof. Richter during his visit will be:

S12-3-11

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