Convergence of the Wick Star Product

Details Convergence of the Wick Star Product Convergence of the Wick Star Product

2005-06-29

arxiv.org/abs/math/0506605v1

Mathematics

Quantum Algebra

27 pages, LaTeX2e, no pictures

Scientific paper

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.

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