Deformation quantization on a Hilbert space
Dito, Giuseppe
HAL, hal-00002152 / Harvested from HAL
Text on HAL
We study deformation quantization on an infinite-dimensional Hilbert space $W$ endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made explicit and it is shown that it is well defined on a subalgebra of $C^\infty(W)$. A classification of inequivalent deformation quantizations of exponential type, containing the Moyal and normal star-products, is also given.
Publié le : 2004-06-26
Classification:  infinte-dimensional deformation quantization,  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00002152,
     author = {Dito, Giuseppe},
     title = {Deformation quantization on a Hilbert space},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00002152}
}

Dito, Giuseppe. Deformation quantization on a Hilbert space. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002152/