Abstract
The evolution of a quantum system in which a specified set of variables is subjected to measurement over the time interval [to, t] is considered. It is shown that if the specified set of variables is macroscopically complete (i.e., it permits continuous measurement), then the expected values of these variables satisfy a closed system of integral equations. The quantum state of the system is then described by a Gibbs density matrix.
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G. Ludvig, Z. Phys.,135, 483 (1953).
L. Lanz, G. Prosperi, and A. Sabbadini, Nuovo Cim.,B11, No. 2, 184 (1971).
V. D. Vainshtein, Preprint No. 39, Physics Institute, Academy of Sciences of the USSR [in Russian] (1980).
V. D. Vainshtein, The Problem of Quantum Mechanical Measurements and the Macroscopic Description of Quantum Systems [in Russian], Tomsk (1981).
I. M. Jauch, Helv. Phys.,37, 293 (1964).
E. T. Jaynes, Phys. Rev.,106, 620 (1957).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 10–13, September, 1983.
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Vainshtein, V.D. Macroscopic description of time evolution of quantum systems. Soviet Physics Journal 26, 779–782 (1983). https://doi.org/10.1007/BF00891838
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DOI: https://doi.org/10.1007/BF00891838