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

(1) Present address: University of Alberta; Canada); Germany; K. Tanaka (1) (Universitaet Regensburg; M. Brack; P. Meier

arxiv: chao-dyn/9807040 · v2 · submitted 1998-07-30 · chao-dyn · math-ph· math.MP· nlin.CD

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

M. Brack , P. Meier , K. Tanaka (1) (Universitaet Regensburg , Germany , (1) Present address: University of Alberta , Canada) This is my paper

classification chao-dyn math-phmath.MPnlin.CD

keywords symmetrybreakingtraceuniformappliedapproximationsaxially-symmetricbroken

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

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