Symmetry Breaking Study with Random Matrix Ensembles

Physics – Data Analysis – Statistics and Probability

Scientific paper

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12 pages, 3 figures Contribution to the International Workshop on Nuclei and Mesoscopic Physics (WNM07), 20-22 October, Michig

Scientific paper

10.1063/1.2915605

A random matrix model to describe the coupling of $m$-fold symmetry is
constructed. The particular threefold case is used to analyze data on
eigenfrequencies of elastomechanical vibration of an anisotropic quartz block.
It is suggested that such experimental/theoretical study may supply a powerful
means to discern intrinsic symmetry of physical systems.

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