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Convergence of the Wick Star Product

Svea Beiser·Hartmann Roemer·Stefan Waldmann
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Abstract

We construct a Frechet space as a subspace of C^ω(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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Svea Beiser, Hartmann Roemer, Stefan Waldmann. 2005-06-29. Convergence of the Wick Star Product. https://arxiv.org/abs/math/0506605

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