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

M. Brack·P. Meier·K. Tanaka
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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 Hénon-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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M. Brack, P. Meier, K. Tanaka. 1998-11-09. Uniform trace formulae for SU(2) and SO(3) symmetry breaking. https://doi.org/10.1088/0305-4470%2F32%2F2%2F009

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