On the multiplicativity of quantum cat maps
Mathematical Physics
2009-11-07 v2 Group Theory
math.MP
Abstract
The quantum mechanical propagators of the linear automorphisms of the two-torus (cat maps) determine a projective unitary representation of the theta group, known as Weil's representation. We prove that there exists an appropriate choice of phases in the propagators that defines a proper representation of the theta group. We also give explicit formulae for the propagators in this representation.
Keywords
Cite
@article{arxiv.math-ph/0110028,
title = {On the multiplicativity of quantum cat maps},
author = {Francesco Mezzadri},
journal= {arXiv preprint arXiv:math-ph/0110028},
year = {2009}
}
Comments
Revised version: proof of the main theorem simplified. 21 pages