On the Quantum Zeno Effect and Time Series Related to Quantum Measurements

Karl-Heinz Fichtner, Kei Inoue

Department of Electrical Engineering, Faculty of Engineering, Tokyo University of Science,Yamaguchi, Sanyoonoda, Japan.
School of Mathematics and Computer Science, Institute of Applied Mathematics,Friedrich-Schiller-Universit?t Jena, Jena, Germany.

DOI: 10.4236/am.2013.410A3008                

Abstract

Our main aim is to prove a more general version of the quantum Zeno effect. Then we discuss some examples of the quantum Zeno effect. Furthermore, we discuss a possibility that based on the quantum Zeno effect and certain experiments one could check whether, from the statistical point of view, a concrete system behaves like a quantum system. The more general version of quantum Zeno effect can be helpful to prove that the brain acts like in a quantum system. The proof of our main result is based on certain formulas describing probability distributions of time series related to quantum measurements.

Keywords

Quantum Zeno Effect; Quantum Measurements; Time Series

Conflicts of Interest

The authors declare no conflicts of interest.

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