Abstract
We present the motivation, formulation, and modified proof of the Bogoliubov-Zubarev theorem connecting the pressure of a dynamical object with its energy within the framework of a classical description and obtain a generalization of this theorem to the case of dynamical compressibility. In both cases, we introduce the volume of the object into consideration using a singular addition to the Hamiltonian function of the physical object, which allows using the concept of the Bogoliubov quasiaverage explicitly already on a dynamical level of description. We also discuss the relation to the same result known as the Hellmann-Feynman theorem in the framework of the quantum description of a physical object.
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This research was supported by Program 5–100 of the Peoples’ Friendship University of Russia.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 194, No. 1, pp. 137–150, January, 2018.
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Rudoi, Y.G. Generalization of the Bogoliubov-Zubarev Theorem for Dynamic Pressure to the Case of Compressibility. Theor Math Phys 194, 114–126 (2018). https://doi.org/10.1134/S0040577918010087
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DOI: https://doi.org/10.1134/S0040577918010087