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Level density of random matrices for decaying systems

Technical Report:

Abstract

Analytical and numerical results for the level density of a certain class of random non-Hermitian matrices H=H+i{Gamma} are presented. The conservative part H belongs to the Gaussian orthogonal ensemble while the damping piece {Gamma} is quadratic in Gaussian random numbers and may describe the decay of resonances through various channels. In the limit of a large matrix dimension the level density assumes a surprisingly simple dependence on the relative strength of the damping and the number of channels. 18 refs.; 4 figs.
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
BUDKERINP-91-98; IYaF-91-98.
Reference Number:
SCA: 661100; PA: AIX-25:007040; EDB-94:015562; ERA-19:007527; NTS-94:015088; SN: 94001126767
Resource Relation:
Other Information: PBD: 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; DECAY; SCATTERING; EIGENVALUES; ENERGY LEVELS; ENERGY-LEVEL DENSITY; GAUSSIAN PROCESSES; HAMILTONIANS; HERMITIAN MATRIX; MATRIX ELEMENTS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10113379
Research Organizations:
AN SSSR, Novosibirsk (Russian Federation). Inst. Yadernoj Fiziki
Country of Origin:
Russian Federation
Language:
English
Other Identifying Numbers:
Other: ON: DE94611073; TRN: RU9305293007040
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
10 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Haake, F, Izrailev, F, Saher, D, and Sommers, H -J. Level density of random matrices for decaying systems. Russian Federation: N. p., 1991. Web.
Haake, F, Izrailev, F, Saher, D, & Sommers, H -J. Level density of random matrices for decaying systems. Russian Federation.
Haake, F, Izrailev, F, Saher, D, and Sommers, H -J. 1991. "Level density of random matrices for decaying systems." Russian Federation.
@misc{etde_10113379,
title = {Level density of random matrices for decaying systems}
author = {Haake, F, Izrailev, F, Saher, D, and Sommers, H -J}
abstractNote = {Analytical and numerical results for the level density of a certain class of random non-Hermitian matrices H=H+i{Gamma} are presented. The conservative part H belongs to the Gaussian orthogonal ensemble while the damping piece {Gamma} is quadratic in Gaussian random numbers and may describe the decay of resonances through various channels. In the limit of a large matrix dimension the level density assumes a surprisingly simple dependence on the relative strength of the damping and the number of channels. 18 refs.; 4 figs.}
place = {Russian Federation}
year = {1991}
month = {Dec}
}