Colloquium: Random matrices and chaos in nuclear spectra
@article{Papenbrock2007ColloquiumRM, title={Colloquium: Random matrices and chaos in nuclear spectra}, author={T. Papenbrock and H. Weidenmueller}, journal={Reviews of Modern Physics}, year={2007}, volume={79}, pages={997-1013} }
Chaos occurs 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. The question is answered using a statistical approach (the two-body random ensemble… CONTINUE READING
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