Quantum Nonequilibrium and Entropy creation

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In sharp contrast to the corresponding classical systems cases it is not yet understood how to define a mechanical quantity with the interpretation of entropy creation rate for nonequilibrum stationary states of finite quantum systems with finite thermostats. Some aspects of this problem are discussed here in cases in which identifying entropy creation rate as a mechanical observable might be possible. v.2: last paragraph of Sec.2 corrected
3 pages, 1 figure: v2 contains the addition of a new reference [6]

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