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- W3105380047 abstract "We consider the differential equation that Zernike proposed to classify aberrations of wavefronts in a circular pupil, as if it were a classical Hamiltonian with a non-standard potential. The trajectories turn out to be closed ellipses. We show that this is due to the existence of higher-order invariants that close into a cubic Higgs algebra. The Zernike classical system thus belongs to the class of superintegrable systems. Its Hamilton-Jacobi action separates in three vertical projections of polar coordinates of a sphere, polar and equidistant coordinates on half-hyperboloids, and also in elliptic coordinates on the sphere." @default.
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- W3105380047 date "2017-07-01" @default.
- W3105380047 modified "2023-10-16" @default.
- W3105380047 title "Superintegrable classical Zernike system" @default.
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- W3105380047 doi "https://doi.org/10.1063/1.4990793" @default.
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