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One-dimensional disordered supersymmetric quantum mechanics: A brief survey

  • Supersymmetric Quantum Mechanics
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Supersymmetry and Integrable Models

Part of the book series: Lecture Notes in Physics ((LNP,volume 502))

Abstract

We consider a one-dimensional model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics. The low energy spectral properties are reviewed and compared with those of other models with off-diagonal disorder. Using recent results on exponential functionals of a Brownian motion we discuss the statistical properties of the ground state wave function and their multifractal behaviour.

Unité de recherche des Universités Paris 11 et Paris 6 associée au CNRS.

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Authors and Affiliations

  1. Division de Physique Théorique, IPN Bât. 100, 91406, Orsay Cédex, France

    Alain Comtet & Christophe Texier

  2. L.P.T.P.E., Université Paris 6, 4 place Jussieu, 75252, Paris Cédex 05, France

    Alain Comtet

Authors
  1. Alain Comtet
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  2. Christophe Texier
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Editor information

Henrik Aratyn Tom D. Imbo Wai-Yee Keung Uday Sukhatme

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© 1998 Springer-Verlag

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Comtet, A., Texier, C. (1998). One-dimensional disordered supersymmetric quantum mechanics: A brief survey. In: Aratyn, H., Imbo, T.D., Keung, WY., Sukhatme, U. (eds) Supersymmetry and Integrable Models. Lecture Notes in Physics, vol 502. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105327

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  • DOI: https://doi.org/10.1007/BFb0105327

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  • Print ISBN: 978-3-540-63986-2

  • Online ISBN: 978-3-540-69679-7

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