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Convergence of the Wick Star Product
Authors:Svea Beiser  Hartmann Römer  Stefan Waldmann
Institution:1.Fakult?t für Mathematik und Physik,Albert-Ludwigs-Universit?t Freiburg, Physikalisches Institut,Freiburg,Germany
Abstract:We construct a Fréchet space as a subspace of $${C^\omega(\mathbb{C}^n)}$$ where the Wick star product converges and is continuous. The resulting Fréchet algebra $${\mathcal{A}}$$ ħ is studied in detail including a *-representation of $${\mathcal{A}}$$ ħ in the Bargmann-Fock space and a discussion of star exponentials and coherent states.
Keywords:
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