Canonical transformations map the n-dimensional anisotropic oscillator to the isotropic oscillator, establishing maximal superintegrability for commensurate frequencies with explicit first integrals in 2D.
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Dynamical symmetries of the anisotropic oscillator
Canonical transformations map the n-dimensional anisotropic oscillator to the isotropic oscillator, establishing maximal superintegrability for commensurate frequencies with explicit first integrals in 2D.