Random matrices, symmetries, and many-body states

Details Random matrices, symmetries, and many-body states Random matrices, symmetries, and many-body states

2011-03-21

arxiv.org/abs/1103.4161v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 figures

Scientific paper

All nuclei with even numbers of protons and of neutrons have ground states with zero angular momentum. This is ascribed to the pairing force between nucleons, but simulations with random interactions suggest a much broader many-body phenomenon. In this Letter I project out random Hermitian matrices that have good quantum numbers and, computing the width of the Hamiltonian in subspaces, find ground states dominated by low quantum numbers, e.g. J=0. Furthermore I find odd-$Z$, odd-$N$ systems with isospin conservation have relatively fewer J=0 ground states.

Affiliated with

Also associated with

No associations

Rating

Random matrices, symmetries, and many-body states 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, symmetries, and many-body states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random matrices, symmetries, and many-body states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-48041