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Superanalysis for Random-Matrix Theory

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Quantum Signatures of Chaos

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 54))

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Abstract

Gossip has it that the “supersymmetry technique” is difficult to learn. But quite to the contrary, representing determinants as Gaussian integrals over anticommuting alias Grassmann variables makes for great simplifications in computing averages over the underlying matrices, as we have seen in Chap. 4 and 9. Readers starting to read this book at this chapter will catch up soon and appreciate the power of Grassmann integrals as an immensely useful tool for dealing with various kinds of random matrices.

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© 2001 Springer-Verlag Berlin Heidelberg

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Haake, F. (2001). Superanalysis for Random-Matrix Theory. In: Quantum Signatures of Chaos. Springer Series in Synergetics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04506-0_10

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  • DOI: https://doi.org/10.1007/978-3-662-04506-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08722-6

  • Online ISBN: 978-3-662-04506-0

  • eBook Packages: Springer Book Archive

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