Explicitly solvable cases of one-dimensional quantum chaos
Quantum Physics
2009-11-07 v1
Abstract
We identify a set of quantum graphs with unique and precisely defined spectral properties called {\it regular quantum graphs}. Although chaotic in their classical limit with positive topological entropy, regular quantum graphs are explicitly solvable. The proof is constructive: we present exact periodic orbit expansions for individual energy levels, thus obtaining an analytical solution for the spectrum of regular quantum graphs that is complete, explicit and exact.
Cite
@article{arxiv.quant-ph/0107092,
title = {Explicitly solvable cases of one-dimensional quantum chaos},
author = {R. Blümel and Yu. Dabaghian and R. V. Jensen},
journal= {arXiv preprint arXiv:quant-ph/0107092},
year = {2009}
}