Convergence of the Wick Star Product
Beiser, Svea ; Roemer, Hartmann ; Waldmann, Stefan
arXiv, 0506605 / Harvested from arXiv
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.
Publié le : 2005-06-29
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  53D55 (deformation quantization)
@article{0506605,
     author = {Beiser, Svea and Roemer, Hartmann and Waldmann, Stefan},
     title = {Convergence of the Wick Star Product},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506605}
}
Beiser, Svea; Roemer, Hartmann; Waldmann, Stefan. Convergence of the Wick Star Product. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506605/