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On local thermal equilibrium given by an energy eigenstate in isolated quantum mechanical system
Institution:1. Duquesne University, Pittsburgh, Pennsylvania, USA;2. College of Technological Innovation, Zayed University, Dubai, UAE;1. School of Cyber Science and Engineering, Wuhan University, Wuhan, China;2. Guangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin, China;3. Department of Computer Science and Engineering, Thapar Institute of Engineering and Technology, India;4. Department of Computer Science and Information Engineering, Asia University, Taiwan;5. Center of Excellence in Information Assurance, College of Computer & Information Sciences, King Saud University, Saudi Arabia;6. Department of Information Systems and Cyber Security, University of Texas at San Antonio, San Antonio, USA
Abstract:It is proved that almost all energy eigenstates of a certain isolated system have the following property: quantum expectation values of all local observables are equal to these statistical expectation values. Temperature is uniquely determined by energy density.
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