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An Introduction to Real-Time Renormalization Group

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Low-Dimensional Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 544))

Abstract

This article presents a tutorial introduction to a recently developed real-time renormalization group method [1].It describes nonequilibrium properties of discrete quantum systems coupled linearly to an environment.We illustrate the technique by a simple and exactly solvable model:A quantum dot consisting of a single non-degenerate level coupled to two reservoirs.The article is intended for advanced students.Besides elementary quantum mechanics and statistical mechanics, it requires knowledge of second quantization and Wick’s theorem.The latter topics can be learned easily from standard textbooks,see e.g.Ref.[2].

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References

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© 1999 Springer-Verlag Berlin Heidelberg

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Schoeller, H. (1999). An Introduction to Real-Time Renormalization Group. In: Brandes, T. (eds) Low-Dimensional Systems. Lecture Notes in Physics, vol 544. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46438-7_7

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  • DOI: https://doi.org/10.1007/3-540-46438-7_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67237-1

  • Online ISBN: 978-3-540-46438-9

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