Search Results - subject:"Spectral statistics"

Stochastic properties of many-body systems

Weidenmüller, H.A. - In: Physica A: Statistical Mechanics and its Applications 302 (2001) 1, pp. 302-309

The k-body embedded ensembles of random matrices originally defined by Mon and French are investigated as paradigmatic models of stochasticity in Fermionic many-body systems. In these ensembles, m Fermions in l degenerate single-particle states, interact via a random k-body interaction which...

Persistent link: https://www.econbiz.de/10011064680

Anderson transition driven by running fractal dimensions in a fractal-shaped structure

Ugajin, R.; Hirata, S.; Kuroki, Y. - In: Physica A: Statistical Mechanics and its Applications 278 (2000) 3, pp. 312-326

the spectral statistics of a quantum particle confined in a fractal-shaped structure generated using the dielectric … breakdown model in three dimensions. When the fractal dimension is almost three, the spectral statistics of low-energy states … are similar to those of a Gaussian orthogonal ensemble. As the fractal dimension decreases to two, the spectral statistics …

Persistent link: https://www.econbiz.de/10010590487