Uniform trace formulae for SU(2) and SO(3) symmetry breaking
chao-dyn
2009-10-31 v2 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We develop uniform approximations for the trace formula for non-integrable systems in which SU(2) symmetry is broken by a non-linear term of the Hamiltonian. As specific examples, we investigate H\'enon-Heiles type potentials. Our formalism can also be applied to the breaking of SO(3) symmetry in a three-dimensional cavity with axially-symmetric quadrupole deformation.
Keywords
Cite
@article{arxiv.chao-dyn/9807040,
title = {Uniform trace formulae for SU(2) and SO(3) symmetry breaking},
author = {M. Brack and P. Meier and K. Tanaka},
journal= {arXiv preprint arXiv:chao-dyn/9807040},
year = {2009}
}
Comments
27 pages, 7 figures, REVTex 3.0