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Zeno product formula revisited

Pavel Exner·Takashi Ichinose·Hagen Neidhardt·Valentin A. Zagrebnov
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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.

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Pavel Exner, Takashi Ichinose, Hagen Neidhardt, Valentin A. Zagrebnov. 2004-11-09. Zeno product formula revisited. https://doi.org/10.1007/s00020-006-1440-6

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