Abstract
The general approach to the theory of statistical measurements in any quantum theory is considered and is shown to contain great difficulties in particular cases. In unitary quantum mechanics a particle is represented by a periodically disappearing and reappearing wave packet, on which vacuum fluctuations are superimposed in some random way. Thus the problem of detecting a particle may be simplified and reduced to finding the packet by means of a threshold device (called detector). This problem is solved in the most general case. It is shown that the optimal detector (which minimizes the error) has to possess a threshold energy which is equal to one-fourth of the registered particle energy. The probabilities of particle detection in unitary quantum mechanics and in ordinary quantum mechanics are shown to be different by two orders of magnitude, which can be tested experimentally.
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