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Random Matrix Theory

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Supermathematics and its Applications in Statistical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 920))

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Abstract

In this chapter the Gaussian random matrix ensembles are investigated. We determine their Green’s functions and show that for small energy differences a soft mode appears. As a consequence, the non-linear sigma-model is introduced and the level correlations are determined.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Heidelberg, Germany

    Franz Wegner

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  1. Franz Wegner
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Wegner, F. (2016). Random Matrix Theory. In: Supermathematics and its Applications in Statistical Physics. Lecture Notes in Physics, vol 920. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49170-6_21

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  • DOI: https://doi.org/10.1007/978-3-662-49170-6_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-49168-3

  • Online ISBN: 978-3-662-49170-6

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