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One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey

Alain Comtet·Christophe Texier
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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.

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Alain Comtet, Christophe Texier. 2003-12-05. One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey. https://doi.org/10.1007/bfb0105327

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