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Title: Random-matrix method for the simulation of large atomic E1 transition arrays

Abstract

A computationally fast approximate method for the calculation of large atomic-dipole transition arrays is proposed using an adaptation of Wigner's random-matrix theory. Unlike the Gaussian orthogonal ensemble, off-diagonal matrix elements are populated statistically according to a bi-Gaussian distribution function where elements are correlated according to the term value of the parent shell.

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory, Livermore, California 94550
OSTI Identifier:
5344192
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Journal Name:
Phys. Rev. A; (United States)
Additional Journal Information:
Journal Volume: 37:7
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; E1-TRANSITIONS; CALCULATION METHODS; EINSTEIN COEFFICIENTS; GAUSS FUNCTION; HOT PLASMA; MATRIX ELEMENTS; ENERGY-LEVEL TRANSITIONS; FUNCTIONS; MULTIPOLE TRANSITIONS; PLASMA; 640302* - Atomic, Molecular & Chemical Physics- Atomic & Molecular Properties & Theory

Citation Formats

Wilson, B G, Rogers, F, and Iglesias, C. Random-matrix method for the simulation of large atomic E1 transition arrays. United States: N. p., 1988. Web. doi:10.1103/PhysRevA.37.2695.
Wilson, B G, Rogers, F, & Iglesias, C. Random-matrix method for the simulation of large atomic E1 transition arrays. United States. https://doi.org/10.1103/PhysRevA.37.2695
Wilson, B G, Rogers, F, and Iglesias, C. 1988. "Random-matrix method for the simulation of large atomic E1 transition arrays". United States. https://doi.org/10.1103/PhysRevA.37.2695.
@article{osti_5344192,
title = {Random-matrix method for the simulation of large atomic E1 transition arrays},
author = {Wilson, B G and Rogers, F and Iglesias, C},
abstractNote = {A computationally fast approximate method for the calculation of large atomic-dipole transition arrays is proposed using an adaptation of Wigner's random-matrix theory. Unlike the Gaussian orthogonal ensemble, off-diagonal matrix elements are populated statistically according to a bi-Gaussian distribution function where elements are correlated according to the term value of the parent shell.},
doi = {10.1103/PhysRevA.37.2695},
url = {https://www.osti.gov/biblio/5344192}, journal = {Phys. Rev. A; (United States)},
number = ,
volume = 37:7,
place = {United States},
year = {Fri Apr 01 00:00:00 EST 1988},
month = {Fri Apr 01 00:00:00 EST 1988}
}