Abstract
The transition to the hydrodynamic limit for a many-particle quantum system withN local conservation laws is made in a specified class of external effects. It is shown that the hydrodynamic equations are nonlocal in time and space and the hydrodynamic model is equivalent to the initial quantum statistical model. The nuclei appearing in the material relations are expressed in terms of the Green functions for the currents. It follows from the properties of the Green functions that the hydrodynamic model satisfies the dissipation conditions. When the quantum field model isT-invariant, the nuclei are related by reciprocal relations (analogous to the Onsager relations).
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Additional information
Institute of Earth Physics, Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 34–38, July, 1995.
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Dinariev, O.Y. Properties of hydrodynamic nuclei for quantum field models. Russ Phys J 38, 682–686 (1995). https://doi.org/10.1007/BF00560268
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DOI: https://doi.org/10.1007/BF00560268