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Macroscopic description of time evolution of quantum systems

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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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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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  • Integral Equation
  • Time Evolution
  • Quantum State
  • Density Matrix
  • Quantum System