Eigenvalue Correlations For Banded Matrices
| dc.creator | Shukla, Pragya | |
| dc.date | 1998-12-15 | |
| dc.date.accessioned | 2026-07-07T03:12:23Z | |
| dc.date.available | 2026-07-07T03:12:23Z | |
| dc.description | We study the evolution of the distribution of eigenvalues of $N\times N$ matrix ensembles subject to a change of variances of its matrix elements. Our results indicate that the evolution of the probability density is governed by a Fokker- Planck equation similar to the one governing the time-evolution of the particle- distribution in Wigner-Dyson gas, with relative variances now playing the role of time. This is also similar to the Fokker-Planck equation for the distribution of eigenvalues of a $N\times N$ matrix subject to a random perturbation taken from the standard Gaussian ensembles with perturbation-strength as the "time" variable. This equivalence alonwith the already known correlations of standard Gaussian ensembles can therefore help us to obtain the same for various physically-significant cases modeled by random banded Gaussian ensembles. | |
| dc.description | Latex file, 5 pages, No figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9812239 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9812239 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28886 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Eigenvalue Correlations For Banded Matrices | |
| dc.type | text |