Zeno product formula revisited
Mathematical Physics
2019-12-10 v2 math.MP
Quantum Physics
Abstract
We introduce a new product formula which combines an orthogonal projection with a complex function of a non-negative operator. Under certain assumptions on the complex function the strong convergence of the product formula is shown. Under more restrictive assumptions even operator-norm convergence is verified. The mentioned formula can be used to describe Zeno dynamics in the situation when the usual non-decay measurement is replaced by a particular generalized observables in the sense of Davies.
Keywords
Cite
@article{arxiv.math-ph/0411036,
title = {Zeno product formula revisited},
author = {Pavel Exner and Takashi Ichinose and Hagen Neidhardt and Valentin A. Zagrebnov},
journal= {arXiv preprint arXiv:math-ph/0411036},
year = {2019}
}
Comments
a revised version, to appear in Integral Equation and Operator Theory, LaTeX 2e, 16 pages