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