Karl-Heinz Fichtner, Kei Inoue
Friedrich-Schiller-Universität Jena
School of Mathematics and Computer Science
Institute of Applied Mathematics
07737, Jena, GERMANY
Department of Electrical Engineering
Tokyo University of Science, Yamaguchi
Sanyo-Onoda, Yamaguchi, 756-0884, JAPAN

Abstract. At first glance it is surprising that there are papers describing experiments fitting to the quantum Zeno effect and on the other hand there are very similar experiments which seem to contradict to the quantum Zeno effect.

Now the quantum Zeno effect should be related to a suppression of the time evolution in case of an ``almost continuous measurement". What does that mean? In this paper we discuss two possibilities to give a precise notion of such a suppression. That completes the considerations of the quantum Zeno scheme in our previous paper (K.-H. Fichtner and K. Inoue, 2013).

Received: August 15, 2015

AMS Subject Classification: 81P15, 46L53, 47N30

Key Words and Phrases: quantum Zeno effect, quantum measurements

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