STATISTICAL THEORY OF ENERGY-LEVEL SPACING DISTRIBUTIONS FOR COMPLEX SPECTRA,
Abstract
Heavy and intermediate weight nuclei have energy levhich are quite complex. It is therefore natural to use statistical methods in describing their energy-level structure. The statistical properties of interest here are the level spacing distributions. The present work includes four main objectives: (1) to give precise mathematical definitions for the mth order spacing distributions without specifying a particular ensemble, (2) to obtain a connec tion between ensembles of Hermitian matrices and ensembles of unitary matrices, (3) to introduce an entire class of 'generalized' ensembles for which various statistical properties can be calculated formally, and (4) to use the formalism of (1) to find the mth order distributions for series of levels with mixed spins and parities. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1963
- Accession Number
- AD0417373
Entities
People
- Harvey S. Leff
Organizations
- Iowa State University