The Mathematical Foundations of Quantum Thermodynamics

• 作者: Akira Suzuki Hisao Taira
• 来源期刊: 现代物理(英文)
• 学科: 地球科学
• 关键词: Basic LAWS in THERMODYNAMICS Thermodynamic State Space Pure and MIXED States CLASSICAL THERMODYNAMICS Quantum THERMODYNAMICS TRANSITIVE Law MIXED ENSEMBLE
• 年，卷（期）: 2020,（4）
• 页码范围: 517-527
• 页数: 11页
• 分类号: X70

摘要

It is proposed a representation of the basic laws (i.e. the zeroth, first, second and third laws) in thermodynamics for quantum systems in the pure and mixed ensembles, respectively. We show that the basic laws are represented by parameters that specify respective quantum states. The parameters are the elements of the thermodynamic state space Mθand the state space Mϑof the mixed ensemble for quantum systems. The introduction of such parameters is based on a probabilistic nature of quantum theory. Consistency between quantum theory and classical thermodynamics is preserved throughout the formulation for the representation of the thermodynamical laws in quantum systems (quantum thermodynamics). The present theory gives the mathematical foundations of quantum thermodynamics.