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[On Atomic Nuclear Fusion Processes at Low-Temperatures. An Enhancement of the Probability of Transition through a Potential Barrier Due to the So-Called Barrier Anti-Zeno Effect].

V A Namiot

Published Mar 1, 2016• 1 citation
OpenAlex

Abstract

It is known that in quantum mechanics the act of observing the experiment can affect the experimental findings in some cases. In particular, it happens under the so-called Zeno effect. In this work it is shown that in contrast to the "standard" Zeno-effect where the act of observing a process reduces the probability of its reality, an inverse situation when a particle transmits through a potential barrier (a so-called barrier anti-Zeno effect) can be observed, the observation of the particle essentially increases the probability of its transmission through the barrier. The possibility of using the barrier anti-Zeno effect is discussed to explain paradoxical results of experiments on "cold nuclear fusion" observed in various systems including biological ones. (According to the observers who performed the observations, the energy generation, which could not be explained by any chemical processes, as well as the change in the isotope and even element composition of the studied object may occur in these systems.

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It is known that in quantum mechanics the act of observing the experiment can affect the experimental findings in some cases. In particular, it happens under the so-called Zeno effect. In this work it is shown that in contrast to the "standard" Zeno-effect where the act of observing a process reduces the probability of its reality, an inverse situation when a particle transmits through a potential barrier (a so-called barrier anti-Zeno effect) can be observed, the observation of the particle essentially increases the probability of its transmission through the barrier. The possibility of using the barrier anti-Zeno effect is discussed to explain paradoxical results of experiments on "cold nuclear fusion" observed in various systems including biological ones. (According to the observers who performed the observations, the energy generation, which could not be explained by any chemical processes, as well as the change in the isotope and even element composition of the studied object may occur in these systems.
It is known that in quantum mechanics the observation of an experiment may in some cases change the results of this experiment. In particular, this occurs for the so-called Zeno effect. It is shown that, unlike the standard Zeno effect for which observation reduces its probability, for a particle that penetrates a potential barrier the opposite situation (called the barrier anti-Zeno effect) can occur, i.e., observation can considerably increase the probability of barrier penetration. The possibility of utilizing the barrier anti-Zeno effect for explaining the paradoxical results of experiments on “cold nuclear fusion” that have been observed in various, including biological, systems is discussed. (According to the experimentalists who performed such studies, in these systems energy release that cannot be explained by any chemical processes, as well as changes of the isotope and even elemental composition of the studied substance, occur).
We consider a situation in which observations themselves can significantly increase a particle transmission probability through a high barrier compared with the particle tunneling probability (a barrier anti-Zeno effect). This may explain the results of cold fusion experiments that have been reported by other authors for various systems. We examine the anti-Zeno effect as a model of a barrier of a special shape, which is similar to the form of barriers to nuclear fusion in a solid, and moreover, has an analytic solution. We have deduced formulas that demonstrate conditions that increase the barrier permeability. Numerical estimates of the particle flows through the barrier are carried out for the conditions of cold fusion experiments.
We consider a situation when observations can increase particle flow across a barrier by many orders of magnitude compared with the tunneling probability (a barrier anti-Zeno effect). It may be of interest for explaining the paradoxical results of experiments on “cold fusion” that has earlier been observed by other authors for various systems. We examine the anti-Zeno effect in a model of a barrier of a special shape, which has similarities with the form of barriers to nuclear fusion in a solid, and moreover has an analytic solution. We have deducted formulas that demonstrate the conditions of increasing the barrier permeability.
Abstract—The issue of how observation of a process in quantum mechanics may influence its outcome is described by case studies of quantum emission by a two-level system and the passage of a particle through a potential barrier. In the first case, the observation can reduce the probability of quantum emission by the two-level system (the quantum Zeno effect). In the second case, the observation of a particle can significantly increase the probability for a particle to pass through a barrier, sometimes even by many orders of magnitude (the barrier anti-Zeno effect). The possibility of such effects in biological systems is discussed.
In 1977, Mishra and Sudarshan [J. Math. Phys. 18, 756 (1977)] showed that an unstable particle would never be found decayed while it was continuously observed. They called this effect the quantum Zeno effect (or paradox). Later it was realized that the frequent measurements could also accelerate the decay (quantum anti-Zeno effect). In this paper, we investigate the quantum Zeno effect using the definite model of the measurement. We take into account the finite duration and the finite accuracy of the measurement. A general equation for the jump probability during the measurement is derived. We find that the measurements can cause inhibition (quantum Zeno effect) or acceleration (quantum anti-Zeno effect) of the evolution, depending on the strength of the interaction with the measuring device and on the properties of the system. However, the evolution cannot be fully stopped.
Quantum mechanics predicts that the decay rate of unstable systems could be effectively modified by the process of the measurement of the survival probability. Depending on the intrinsic properties of the unstable system and the experimental setup for the observation, one could obtain the so called (direct) quantum Zeno and inverse quantum Zeno effects corresponding to a slowing down or a speeding up of the decay, respectively. We argue that the inverse quantum Zeno effect is in principle detectable at a percent level for the neutron decay in experiments with trapped ultracold neutrons. Conversely, this effect is basically undetectable in experiments in which the neutron lifetime is measured by measuring the decays of beams of neutrons. As a test of our claim, we propose a simple qualitative correlation between the number of neutrons in the trap and the neutron lifetime: the larger the number, the faster the decay. Finally we discuss also the presently available measurements of the neutron lifetime and address the issue of the possible discrepancy that has been reported among the results obtained by the different experimental techniques.