Eigenfunctions of the 2D quantum harmonic oscillator map to Z_n-invariant classical particle motions along circles in lens spaces S^3/Z_n inside the reduced phase space C^2/Z_n.
Heat kernels and functional determi- nants on the generalized cone
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The Geometry Underlying the Quantum Harmonic Oscillator
Eigenfunctions of the 2D quantum harmonic oscillator map to Z_n-invariant classical particle motions along circles in lens spaces S^3/Z_n inside the reduced phase space C^2/Z_n.