A note on classical ground state energies

Physics – Mathematical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

12 p., 2 fig., submitted for publication

Scientific paper

The pair-specific ground state energy of Newtonian N-body systems grows monotonically in N. This furnishes a whole family of simple new tests for minimality of putative ground state energies obtained through computer experiments. Inspection of several publically available lists of such computer-experimentally obtained putative ground state energies has yielded several dozen instances which failed (at least) one of these tests. Although the correct ground state energy is not revealed by this method, it does yield a better upper bound on it than the experimentally found value whenever the latter fails a monotonicity test. The surveyed N-body systems include in particular N point charges with 2- or 3-dimensional Coulomb pair interactions, placed either on the unit 2-sphere or on a 2-torus (a.k.a. Thomson, Fekete, or Riesz problems).

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A note on classical ground state energies 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 A note on classical ground state energies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on classical ground state energies will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-77408

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.