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arXiv 0802.0620cond-mat.mes-hall
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非平衡态微扰理论的形式与近藤效应

Formalism of Nonequilibrium Perturbation Theory and Kondo Effect

Mami Hamasaki

摘要:

非平衡态微扰理论的形式由Schwinger和Keldysh建立,然后由Lifshitz和Pitaevskii用数学方法发展。迄今为止,它已被广泛应用于物理学、凝聚态、等离子体、原子和分子、核物质等领域的各种研究。尽管如此,形式主义还没有建立作为微扰理论。例如,没有微扰方法可以正确地导出任意的自能。此外,与其他形式主义的联系,例如,松原时间微扰形式主义是不确定的。虽然微扰形式主义中必然存在自能之间的关系,但这些基本问题仍然有待解决。目前的工作给出了解决方案。实时微扰展开是在绝热定理的基础上进行的。作为结果,自能的要求作为函数的时间被证明和制定的自能满足已知的关系。此外,它给出了精确的协议,由微扰展开所导出的函数的时间和解析连续。因此,它意味着目前的形式主义可以推广。

英文摘要:

The formalism of nonequilibrium perturbation theory was constructed by Schwinger and Keldysh and then was developed with the diagrammatical technique by Lifshitz and Pitaevskii. Until now there has been widespread application to various researches in physics, condensed matter, plasmas, atoms and molecules, nuclear matter etc.. In spite of this, the formalism has not been established as perturbation theory. For example, there is no perturbative method to derive arbitrary self-energy properly. In addition, the connection with other formalism, e.g., the Matsubara imaginary-time perturbative formalism is uncertain. Although there must be the relationship between self-energies in the perturbative formalism, such basic problems remain to be solved. The solution is given by the present work. The real-time perturbative expansion is performed on the basis of the adiabatic theorem. As the results, the requirements of self-energies as functions in time are demonstrated and the formulated self-energies meet the known relations. Besides, it gives exact agreement with functions derived by perturbative expansion in imaginary-time and analytical continuity. As a consequence, it implies that the present formalism can be generalized.

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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