Deformation quantization on a Hilbert space
Quantum Algebra
2007-05-23 v1
Abstract
We study deformation quantization on an infinite-dimensional Hilbert space 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 . A classification of inequivalent deformation quantizations of exponential type, containing the Moyal and normal star-products, is also given.
Cite
@article{arxiv.math/0406583,
title = {Deformation quantization on a Hilbert space},
author = {Giuseppe Dito},
journal= {arXiv preprint arXiv:math/0406583},
year = {2007}
}