Nuclear Structure under Random InteractionsNo Access

CORRELATION BETWEEN EIGENVALUES AND SORTED DIAGONAL MATRIX ELEMENTS OF A LARGE DIMENSIONAL MATRIX

AKITO ARIMA

AKITO ARIMA

Science Museum, Japan Science Foundation, Japan

Musashi Gakuen, Japan

Department of Physics, Shanghai Jiao Tong University, China

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https://doi.org/10.1142/S0218301308011963Cited by:0 (Source: Crossref)

Abstract

Functional dependences of eigenvalues as functions of sorted diagonal elements are given for realistic nuclear shell model (NSM) hamiltonian, the uniform distribution hamiltonian and the GOE hamiltonian. In the NSM case, the dependence is found to be linear. We discuss extrapolation methods for more accurate predictions for low-lying states.

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References

T. Papenbrock and H. A. Weidenmueller, Phys. Rev. Lett. 93, 132503 (2004); Phys. Rev. C 73, 014311 (2006); T. Papenbrock and H. A. Weidenmueller, Rev. Mod. Phys. 79 (2007) 997; H. A. Weidenmueller and G. W. Mitchell, Random Matrices and Chaos in Nuclear Physics, Part I: nuclear structure, arXiV: 0807.1070 . Google Scholar
N. Yoshinaga, A. Arima and Y. M. Zhao, Phys. Rev. C 73, 017303 (2006), DOI: 10.1103/PhysRevC.73.017303. Crossref, Web of Science, Google Scholar
J. J. Shenet al., Phys. Rev. C 77, 054312 (2008), DOI: 10.1103/PhysRevC.77.054312. Crossref, Web of Science, Google Scholar
J. J. Shenet al., Phys. Rev. C 78, 044305 (2008), DOI: 10.1103/PhysRevC.78.044305. Crossref, Web of Science, Google Scholar

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CORRELATION BETWEEN EIGENVALUES AND SORTED DIAGONAL MATRIX ELEMENTS OF A LARGE DIMENSIONAL MATRIX

Abstract

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