On quantization of the uncertainty in a measurable macroscopic quantity |
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Authors: | L S Terekhov |
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Institution: | (1) Omsk Branch of S. L. Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Russia |
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Abstract: | The present work is devoted consequences of generalization of the radar uncertainty relation. The radar uncertainty relation
has been generalized by adding a deterministic but irremovable component of the wave measurement error. One of the consequences
of the generalized radar uncertainty relation is that a nonzero uncertainty minimum is achieved in measuring a macroscopic
quality in an optimal nonzero uncertainty interval found by local step-by-step quantization of multipliers of the radar uncertainty
relation. An algorithm of minimization of the measurement uncertainty generalizes the notion of measurement understood as
a unified measuring and information process including readings, calculations, and step-by-step adaptation of the parameters
of a measuring instrument to the parameters of a measurable object. The value of the macroscopic quantity measured with the
least uncertainty in the optimal interval is taken to be its true value.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 73–77, September, 2006. |
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Keywords: | |
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