Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Review article, published version, special thanks to Steve Fulling who found some errors in the first manuscript before public

Scientific paper

During the last years quantum graphs have become a paradigm of quantum chaos with applications from spectral statistics to chaotic scattering and wave function statistics. In the first part of this review we give a detailed introduction to the spectral theory of quantum graphs and discuss exact trace formulae for the spectrum and the quantum-to-classical correspondence. The second part of this review is devoted to the spectral statistics of quantum graphs as an application to quantum chaos. Especially, we summarise recent developments on the spectral statistics of generic large quantum graphs based on two approaches: the periodic-orbit approach and the supersymmetry approach. The latter provides a condition and a proof for universal spectral statistics as predicted by random-matrix theory.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-596656

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.