Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of 3d real Lie algebras. The Jacobians of the corresponding quantum algebras are calculated.
Quantum counterparts of VII$_{a}$, III$_{a=1}$, VI$_{a\neq1}$ over harmonic oscillator
Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator
A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator
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