Quantum Mechanics on the Hypercube
High Energy Physics - Theory
2007-05-23 v1 Quantum Algebra
Chaotic Dynamics
Quantum Physics
Abstract
We construct quantum evolution operators on the space of states, that is represented by the vertices of the n-dimensional unit hypercube. They realize the metaplectic representation of the modular group SL(2,Z(2^n)). By construction this representation acts in a natural way on the coordinates of the non-commutative 2-torus,T^2, and thus is relevant for noncommutative field theories as well as theories of quantum space-time.
Cite
@article{arxiv.hep-th/0006006,
title = {Quantum Mechanics on the Hypercube},
author = {E. G. Floratos and S. Nicolis},
journal= {arXiv preprint arXiv:hep-th/0006006},
year = {2007}
}
Comments
8 pages LaTeX (needs amssymb.sty)