On Stochastic Generators of Positive Definite Exponents
Probability
2007-05-23 v1
Abstract
A characterisation of quantum stochastic positive definite (PD) exponent is given in terms of the conditional positive definiteness (CPD) of their form-generator. The pseudo-Hilbert dilation of the stochastic form-generator and the pre-Hilbert dilation of the corresponding dissipator is found. The structure of quasi-Poisson stochastic generators giving rise to a quantum stochastic birth processes is studied.
Keywords
Cite
@article{arxiv.math/0512290,
title = {On Stochastic Generators of Positive Definite Exponents},
author = {V. P. Belavkin},
journal= {arXiv preprint arXiv:math/0512290},
year = {2007}
}
Comments
9 pages. Paper for Japanese-German Symposium `Infinite Dimensional Harmonic Analysis', Kyoto, 2000