English

The Linear Baryon

chao-dyn 2009-10-31 v1 Chaotic Dynamics

Abstract

We describe classical orbits and quantum states of a three particle system which is weakly chaotic. The quantum energies of the lowest 48 states which are invariant under permutations are given both in various approximations and to high accuracy. The quantum mechanical probability distributions are given in a two dimensional version of the system, the hexagonal pit. The quantum probabilities show strong resemblance to classical orbits of various types, including chaotic ones.

Keywords

Cite

@article{arxiv.chao-dyn/9910026,
  title  = {The Linear Baryon},
  author = {D. Bukta and G. Karl and B. G. Nickel},
  journal= {arXiv preprint arXiv:chao-dyn/9910026},
  year   = {2009}
}

Comments

19 pages, 5 figures