Convergence of the Wick Star Product
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We construct a Frechet space as a subspace of C^\omega(C^n) where the Wick star product converges and is continuous. The resulting Frechet algebra A_h is studied in detail including a *-representation of A_h in the Bargmann-Fock space and a discussion of star exponentials and coherent states.
Keywords
Cite
@article{arxiv.math/0506605,
title = {Convergence of the Wick Star Product},
author = {Svea Beiser and Hartmann Roemer and Stefan Waldmann},
journal= {arXiv preprint arXiv:math/0506605},
year = {2007}
}
Comments
27 pages, LaTeX2e, no pictures