Random Matrices and Chaos in Nuclear Spectra

Details Random Matrices and Chaos in Nuclear Spectra Random Matrices and Chaos in Nuclear Spectra

2007-01-30

arxiv.org/abs/nucl-th/0701092v1

Rev.Mod.Phys.79:997-1013,2007

Physics

Nuclear Physics

Nuclear Theory

17 pages, 20 figures, colloquium article, submitted to Reviews of Modern Physics

Scientific paper

10.1103/RevModPhys.79.997

We speak of chaos in quantum systems if the statistical properties of the eigenvalue spectrum coincide with predictions of random-matrix theory. Chaos is a typical feature of atomic nuclei and other self-bound Fermi systems. How can the existence of chaos be reconciled with the known dynamical features of spherical nuclei? Such nuclei are described by the shell model (a mean-field theory) plus a residual interaction. We approach the question by using a statistical approach (the two-body random ensemble): The matrix elements of the residual interaction are taken to be random variables. We show that chaos is a generic feature of the ensemble and display some of its properties, emphasizing those which differ from standard random-matrix theory. In particular, we display the existence of correlations among spectra carrying different quantum numbers. These are subject to experimental verification.

Affiliated with

Also associated with

No associations

Rating

Random Matrices and Chaos in Nuclear Spectra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Random Matrices and Chaos in Nuclear Spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random Matrices and Chaos in Nuclear Spectra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470680