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quant-ph2019★ 1 cited
Formation of superscar waves in plane polygonal billiards
Eugene Bogomolny
Polygonal billiards constitute a special class of models. Though they have zero Lyapunov exponent their classical and quantum properties are involved due to scattering on singular…
quant-ph2018
Eigenfunction distribution for the Rosenzweig-Porter model
E. Bogomolny, M. Sieber
The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple…