The Poincare-Birkhoff theorem in Quantum Mechanics
Chaotic Dynamics
2015-05-28 v1 Quantum Physics
Abstract
Quantum manifestations of the dynamics around resonant tori in perturbed Hamiltonian systems, dictated by the Poincar\'e--Birkhoff theorem, are shown to exist. They are embedded in the interactions involving states which differ in a number of quanta equal to the order of the classical resonance. Moreover, the associated classical phase space structures are mimicked in the quasiprobability density functions and their zeros.
Cite
@article{arxiv.1105.1461,
title = {The Poincare-Birkhoff theorem in Quantum Mechanics},
author = {D. A. Wisniacki and M. Saraceno and F. J. Arranz and R. M. Benito and F. Borondo},
journal= {arXiv preprint arXiv:1105.1461},
year = {2015}
}
Comments
5 pages, 3 figures, Full resolution figures available at http://www.df.uba.ar/users/wisniaki/publications.html