Uniform trace formulae for SU(2) and SO(3) symmetry breaking

Details Uniform trace formulae for SU(2) and SO(3) symmetry breaking Uniform trace formulae for SU(2) and SO(3) symmetry breaking

1998-07-30

arxiv.org/abs/chao-dyn/9807040v2

Journal of Physics A vol.32, p.331

Physics

Mathematical Physics

27 pages, 7 figures, REVTex 3.0

Scientific paper

10.1088/0305-4470/32/2/009

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.

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