Zeno product formula revisited

Details Zeno product formula revisited Zeno product formula revisited

2004-11-09

arxiv.org/abs/math-ph/0411036v2

Physics

Mathematical Physics

a revised version, to appear in Integral Equation and Operator Theory, LaTeX 2e, 16 pages

Scientific paper

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.

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