Ultrarapidly decreasing ultradifferentiable functions, Wigner distributions and density matrices
Functional Analysis
2014-02-26 v2 Mathematical Physics
math.MP
Abstract
Spaces of ultradecreasing ultradifferentiable (or for short, ultra-S) functions, depending on a weight , are introduced in the context of quantum statistics. The corresponding coefficient spaces in the Fock basis are identified, and it is shown that the Hermite expansion is a tame isomorphism between these spaces. These results are used to link decrease properties of density matrices to corresponding properties of the Wigner distribution.
Cite
@article{arxiv.math/0703884,
title = {Ultrarapidly decreasing ultradifferentiable functions, Wigner distributions and density matrices},
author = {Jean-Marie Aubry},
journal= {arXiv preprint arXiv:math/0703884},
year = {2014}
}