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.
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}
}
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}
}