标题： 对“作为第二定律基础的数学定理：汤姆森公式在平衡中的应用”的评论 显示英文标题

标题： Comment on "A mathematical theorem as a basis for the second law: Thomson's formulation applied to equilibruim"

摘要： A.E. Allahverdyan和Th. M. Nieuwenhuizen [1]在其论文“作为第二定律基础的数学定理：汤姆森公式应用于平衡”中，提出了一种基于量子力学的热力学第二定律的证明。 在此对他们的论文的评论中，我提供了一个对其证明的反例。 显示英文摘要

摘要： A.E. Allahverdyan and Th. M. Nieuwenhuizen [1] in their paper "A mathematical theorem as a basis for the second law: Thomson's formulation applied to equilibriium" present a proof of the second law of thermodynamics based on quantum mechanics. In this comment on their paper I offer a counterexample to their proof.