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Problem of measurements in classical and quantum mechanics

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Abstract

In the present paper, a phenomenological model of measurement process is suggested. It includes information on a measurable quantity and a hypothesis on a minimum measurement error. The use of this model and of the principle of the least action allows an equation of the information dynamics of a material point to be derived. This equation differs by the presence of an information force. By the example of a one-dimensional oscillator, the feasibility of solving the inverse problem of frequency reconstruction from the experimental data is demonstrated. The problem of quantum measurement is solved based on a classical analog.

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Authors and Affiliations

  1. A. M. Gor’kii Ural State University, Russia

    N. F. Balakhonov & A. V. Staradanov

Authors
  1. N. F. Balakhonov
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  2. A. V. Staradanov
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Correspondence to N. F. Balakhonov.

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__________

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 89–96, March, 2007.

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Balakhonov, N.F., Staradanov, A.V. Problem of measurements in classical and quantum mechanics. Russ Phys J 50, 296–304 (2007). https://doi.org/10.1007/s11182-007-0041-4

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  • DOI: https://doi.org/10.1007/s11182-007-0041-4

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