E. Paal, J. Virkepu
Published 2010-02-14Version 1
Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of three-dimensional real Lie algebras. The Jacobi operators of these quantum algebras are explicitly calculated.
Comments: arXiv admin note: text overlap with arXiv:0901.4264
Journal: Banach Center Publications, Vol. 93 (2011), 199-209
Quantum counterparts of VII$_{a}$, III$_{a=1}$, VI$_{a\neq1}$ over harmonic oscillator
Quantum counterparts of 3d Lie algebras over harmonic oscillator
Different faces of harmonic oscillator
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