Quantum chaos in one dimension?
Chaotic Dynamics
2011-08-04 v3 Mathematical Physics
math.MP
Quantum Physics
Abstract
In this work we investigate the inverse of the celebrated Bohigas-Giannoni-Schmit conjecture. Using two inversion methods we compute a one-dimensional potential whose lowest N eigenvalues obey random matrix statistics. Our numerical results indicate that in the asymptotic limit, N->infinity, the solution is nowhere differentiable and most probably nowhere continuous. Thus such a counterexample does not exist.
Cite
@article{arxiv.1103.0433,
title = {Quantum chaos in one dimension?},
author = {Laszlo Ujfalusi and Imre Varga and Daniel Schumayer},
journal= {arXiv preprint arXiv:1103.0433},
year = {2011}
}
Comments
7 pages, 10 figures, minor correction, references extended