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).