𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An ergodic property of orthogonal ensembles of random matrices

✍ Scribed by T.A. Brody; P.A. Meldo

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
113 KB
Volume
37
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Ergodicity of Unitary Random-Matrix Ense
Ergodicity of Unitary Random-Matrix Ensembles
✍ Z. PluhaΕ™; H.A. WeidenmΓΌller πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 191 KB

Using Efetov's supersymmetry method, we prove the ergodicity of a wide class of unitary random-matrix ensembles. We do so by showing that the connected part of the autocorrelation function of any observable vanishes asymptotically. The essential elements of the proof consist in a polar decomposition

Spectral Properties of the k-Body Embedd
Spectral Properties of the k-Body Embedded Gaussian Ensembles of Random Matrices
✍ L. Benet; T. Rupp; H.A. WeidenmΓΌller πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 194 KB

We consider m spinless Fermions in l > m degenerate single-particle levels interacting via a kbody random interaction with Gaussian probability distribution and k ≀ m in the limit l β†’ ∞ (the embedded k-body random ensembles). We address the cases of orthogonal and unitary symmetry. We derive a novel