One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey
Condensed Matter
2009-10-30 v2
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.
Cite
@article{arxiv.cond-mat/9707313,
title = {One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey},
author = {Alain Comtet and Christophe Texier},
journal= {arXiv preprint arXiv:cond-mat/9707313},
year = {2009}
}
Comments
16 pages, LaTeX, contribution to the proceedings of the workshop "Supersymmetry and Integrable Models", version 2: prefactor of eq.(17) corrected