Jarzynski Relations for Quantum Systems and Some Applications

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We derive quantum analogues of Jarzynski's relations, and discuss two applications, namely, a derivation of the law of entropy increase for general compound systems, and a preliminary analysis of heat transfer between two quantum systems at different temperatures. We believe that the derivation of the law of entropy increase is new and of importance.
11 pages. A remark is added at the end of Section 2.2

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