Lecturer: Prof. Dr. Hans A. Weidenmüller
Affiliation: Max-Planck-Institut für Kernphysik
Abstract:
The phase of the transmission amplitude
for electrons traversing a quantum dot
shows the same pattern for long sequences
of consecutive resonances.
Such universal behavior is caused by
correlations of the signs of resonance
transmission amplitudes. I discuss the
stability of such correlations in terms
of a statistical model. If the dot is classically
chaotic, the resonance eigenfunctions
have a Gaussian distribution. Under this
hypothesis, long sequences of resonances
with universal behavior persist in the semiclassical
limit for dots with large electron numbers
and for specific energy intervals.
Numerical calculations are quantitatively
closer to universality, showing the limits
of the Gaussian hypothesis.