Finite Temperature Schr\"{o}dinger Equation
Xiang-Yao Wu, Bai-Jun Zhang, Xiao-Jing Liu, Nuo Ba, Yi-Heng Wu,, Qing-Cai Wang, Yan Wang
TL;DR
This paper introduces a finite temperature Schr"{o}dinger equation that extends the traditional zero-temperature model to describe quantum systems at any temperature, bridging a gap in quantum dynamics modeling.
Contribution
The paper proposes a novel finite temperature Schr"{o}dinger equation that generalizes the standard equation to include thermal effects in quantum systems.
Findings
The new equation reduces to the standard Schr"{o}dinger equation at zero temperature.
It provides a theoretical framework for studying quantum systems at arbitrary temperatures.
Abstract
We know Schr\"{o}dinger equation describes the dynamics of quantum systems, which don't include temperature. In this paper, we propose finite temperature Schr\"{o}dinger equation, which can describe the quantum systems in an arbitrary temperature. When the temperature T=0, it become Shr\"{o}dinger equation.
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Taxonomy
TopicsThermoelastic and Magnetoelastic Phenomena