On the Form Factor for the Unitary Group
Mirko Degli Esposti, Andreas Knauf
TL;DR
This paper investigates the combinatorial aspects of the form factor for the unitary group U(N) in the large N limit, linking it to semiclassical contributions in quantum systems modeled by the unitary ensemble.
Contribution
It introduces a combinatorial framework for analyzing the form factor of U(N) in the large N limit, connecting mathematical structures to quantum semiclassical phenomena.
Findings
Derived combinatorial formulas for the form factor contributions.
Established connections between group theory and quantum semiclassical analysis.
Provided insights into the large N behavior of unitary group form factors.
Abstract
We study the combinatorics of the contributions to the form factor of the group U(N) in the large limit. This relates to questions about semiclassical contributions to the form factor of quantum systems described by the unitary ensemble.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Spectral Theory in Mathematical Physics · Random Matrices and Applications