Videos

Exact results in the Random Matrix Theory approach to the theory of chaotic cavities

Presenter
September 13, 2010
Keywords:
  • random matrices
  • random eigenvalues
  • scattering theory
  • scattering delay time
  • quantum dots
MSC:
  • 60B20
  • 60B15
  • 60Bxx
  • 60-xx
  • 81Uxx
  • 81U20
  • 81S30
Abstract
Random Matrix Theory has been used extensively to compute physical quantities related to charge fluctuations in the scattering of a particle through a chaotic cavity. In this talk we will present some results concerning the conductance, shot notice and the Wigner time delay. Our computations involve all the three symmetry classes (beta=1,2 and 4) and are exact for arbitrary number of open channels (finite matrix dimension).