One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey
arXiv:cond-mat/9707313 · doi:10.1007/BFb0105327
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.
16 pages, LaTeX, contribution to the proceedings of the workshop "Supersymmetry and Integrable Models", version 2: prefactor of eq.(17) corrected