Scarring for Quantum Maps with Simple Spectrum
Mathematical Physics
2019-02-20 v1 math.MP
Number Theory
Abstract
We previously introduced a family of symplectic maps of the torus whose quantization exhibits scarring on invariant co-isotropic submanifolds. The purpose of this note is to show that in contrast to other examples, where failure of Quantum Unique Ergodicity is attributed to high multiplicities in the spectrum, for these examples the spectrum is (generically) simple.
Cite
@article{arxiv.0801.2493,
title = {Scarring for Quantum Maps with Simple Spectrum},
author = {Dubi Kelmer},
journal= {arXiv preprint arXiv:0801.2493},
year = {2019}
}
Comments
5 pages