Destruction of order in nuclear spectra by a residual GOE interaction

M. R. Zirnbauer; J. J.M. Verbaarschot; H. A. Weidenmüller

doi:10.1016/0375-9474(83)90385-8

Destruction of order in nuclear spectra by a residual GOE interaction

M. R. Zirnbauer
, J. J.M. Verbaarschot
, H. A. Weidenmüller

Physics and Astronomy

Max Planck Institute for Nuclear Physics

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

We consider hamiltonians of the type H = H₀ + λV_GOE where H₀ is a fixed N × N matrix and V_GOE represents a gaussian orthogonal ensemble. The change as a function of λ of the average level density and of the eigenvector correlations is studied, and related to the distribution of branch points of H. It is shown that the GOE interaction completely dominates the spectral properties of H when its spectrum covers the spectrum of H₀.

Original language	English
Pages (from-to)	161-180
Number of pages	20
Journal	Nuclear Physics, Section A
Volume	411
Issue number	2
DOIs	https://doi.org/10.1016/0375-9474(83)90385-8
State	Published - Dec 19 1983

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title = "Destruction of order in nuclear spectra by a residual GOE interaction",

abstract = "We consider hamiltonians of the type H = H0 + λVGOE where H0 is a fixed N × N matrix and VGOE represents a gaussian orthogonal ensemble. The change as a function of λ of the average level density and of the eigenvector correlations is studied, and related to the distribution of branch points of H. It is shown that the GOE interaction completely dominates the spectral properties of H when its spectrum covers the spectrum of H0.",

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AU - Zirnbauer, M. R.

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AU - Weidenmüller, H. A.

PY - 1983/12/19

Y1 - 1983/12/19

N2 - We consider hamiltonians of the type H = H0 + λVGOE where H0 is a fixed N × N matrix and VGOE represents a gaussian orthogonal ensemble. The change as a function of λ of the average level density and of the eigenvector correlations is studied, and related to the distribution of branch points of H. It is shown that the GOE interaction completely dominates the spectral properties of H when its spectrum covers the spectrum of H0.

AB - We consider hamiltonians of the type H = H0 + λVGOE where H0 is a fixed N × N matrix and VGOE represents a gaussian orthogonal ensemble. The change as a function of λ of the average level density and of the eigenvector correlations is studied, and related to the distribution of branch points of H. It is shown that the GOE interaction completely dominates the spectral properties of H when its spectrum covers the spectrum of H0.

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DO - 10.1016/0375-9474(83)90385-8

M3 - Article

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VL - 411

SP - 161

EP - 180

JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

IS - 2

ER -

Destruction of order in nuclear spectra by a residual GOE interaction

Abstract

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