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UID:UW-Physics-Event-3034
DTSTART:20130905T150000Z
DURATION:PT1H0M0S
DTSTAMP:20260419T212049Z
LAST-MODIFIED:20130828T130512Z
LOCATION:5310 Chamberlin
SUMMARY:Random Matrix Approach to Understand the Statistical Propertie
 s of Complex Wave Scattering Systems\, R. G. Herb Condensed Matter Sem
 inar\, Jen-Hao Yeh\, University of Maryland
DESCRIPTION:There is great interest in the quantum/wave properties of 
 systems that show chaos in the classical (short wavelength\, or ray) l
 imit. These wave chaotic systems appear in many contexts: nuclear phys
 ics\, acoustics\, two-dimensional quantum dots\, and electromagnetic e
 nclosures. Initiated by the need to understand the energy levels of co
 mplicated nuclei\, random matrix theory (RMT) has been applied to succ
 essfully predict universal properties of these complicated wave-scatte
 ring systems through the statistical description of their eigenvalues\
 , eigenfunctions\, impedance matrices\, and scattering matrices. For u
 nderstanding the properties of practical systems\, researchers at Mary
 land have developed the random coupling model (RCM) to offer a complet
 e statistical model which utilizes a simple additive formula in terms 
 of impedance matrices to combine the predictions of RMT and the nonuni
 versal system-specific features in practical systems. We have carried 
 out experimental tests of the random coupling model in microwave cavit
 ies\, including a superconducting microwave cavity acting as a low los
 s environment. The results demonstrate the nonuniversal features\, suc
 h as the radiation impedance and the short orbits\, and the universal 
 fluctuations in wave properties\, such as the scattering matrix elemen
 ts and the impedance matrix elements\, of complex wave scattering syst
 ems.
URL:https://www.physics.wisc.edu/events/?id=3034
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