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arXiv physics/0412180physics.chem-phphysics.comp-ph
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有限温度下量子化学的新兴领域

On Emerging Fields of Quantum Chemistry at Finite Temperature

Liqiang Wei

摘要:

在这篇文章中,我们提出了一个新兴的领域,量子化学在有限温度。我们讨论了它在理论和实验方面的最新进展,描述和分析了几个与温度对分子结构、电子光谱或键断裂力的影响有关的实验研究。这包括研究温度对蛋白质解折叠路径的影响,溶剂中电子吸收光谱的温度依赖性,以及温度对原子力显微镜测量的分子间力的影响。在理论方面,我们回顾了作者在有限温度下量子化学领域的最新进展。从Bloch方程出发,导出了正则系综和巨正则系综中约化密度算子的层次方程组。它们提供了一个定律,根据这个定律,对于相同的和相互作用的多体粒子,约化密度算符的温度是变化的。在独立粒子近似下,我们在巨正则系综的情况下求解了该方程,得到了有限温度下分子轨道的本征方程。给出了温度相关的Fock算子的显式表达式。它们将为研究分子电子结构及其与有限温度的相互作用奠定基础。最后,我们对本文的讨论进行了总结,并指出了有限温度下量子化学研究中的理论和计算问题。

英文摘要:

In this article, we present an emerging field of quantum chemistry at finite temperature. We discuss its recent developments on both theoretical and experimental fronts.We describe and analyze several experimental investigations related to the temperature effects on the structure, electronic spectra,or bond rupture forces for molecules. This includes the study of the temperature impact on the pathway shifts for the protein unfolding by atomic force microscopy, the temperature dependence of the absorption spectra of electrons in solvents, and temperature influence over the intermolecular forces measured by the AFM. On the theoretical side, we review a recent advancement made by the author in the coming fields of quantum chemistry at finite temperature. Starting from Bloch equation, we have derived the sets of hierarchy equations for the reduced density operators in both canonical and grand canonical ensembles. They provide a law according to which the reduced density operators vary in temperature for the identical and interacting many-body particles. By taking the independent particle approximation, we have solved the equation in the case of a grand canonical ensemble, and obtained an eigenequation for the molecular orbitals at finite temperature. The explicit expression for the temperature-dependent Fock operator is also given. They will form a foundation for the study of the molecular electronic structures and their interplay with the finite temperature. Furthermore, we clarify the physics concerning the temperature effect on the electronic structure or processes of molecules which is crucial for both theoretical understanding and computational study.Finally,we summarize our discussion and point out the theoretical and computational issues for the future explorations in the fields of quantum chemistry at finite temperature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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