Eigenfunction Statistics of Complex Systems: A Common Mathematical Formulation
| dc.creator | Shukla, Pragya | |
| dc.date | 2005-04-30 | |
| dc.date | 2007-05-04 | |
| dc.date.accessioned | 2026-07-07T07:59:20Z | |
| dc.date.available | 2026-07-07T07:59:20Z | |
| dc.description | We derive a common mathematical formulation for the eigenfunction statistics of Hermitian operators, represented by a multi-parametric probability density. The system-information in the formulation enters through two parameters only, namely, system size and the complexity parameter, a function of all system parameter including size. The behavior is contrary to the eigenvalue statistics which is sensitive to complexity parameter only and shows a single parametric scaling. The existence of a mathematical formulation, of both eigenfunctions and eigenvalues, common to a wide range of complex systems indicates the possibility of a similar formulation for many physical properties. This also suggests the possibility to classify them in various universality classes defined by complexity parameter. | |
| dc.description | 16 Figures, Several Changes, Many new sections and figures included, conclusion slightly changed | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0505007 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0505007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128329 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Eigenfunction Statistics of Complex Systems: A Common Mathematical Formulation | |
| dc.type | text |