On q-deformed quantum stochastic calculus
数学物理
2007-05-23 v1 math.MP
概率论
量子代数
摘要
In this paper we investigate a quantum stochastic calculus build of creation, annihilation and number of particles operators which fulfill some deformed commutation relations. Namely, we introduce a deformation of a number of particles operator which has simple commutation relations with well known q-deformed creation and annihilation operators. Since all operators considered in this theory are bounded we do not deal with some difficulties of a non deformed theory of Hudson and Parthasarathy. We define stochastic integrals and estimate them in the operator norm. We prove Ito's formula as well.
引用
@article{arxiv.math-ph/0007035,
title = {On q-deformed quantum stochastic calculus},
author = {Piotr Sniady},
journal= {arXiv preprint arXiv:math-ph/0007035},
year = {2007}
}
备注
18 pages