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arxiv: 1002.2806 · v1 · pith:3UFSYMPBnew · submitted 2010-02-14 · 🧮 math-ph · math.MP

Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator

classification 🧮 math-ph math.MP
keywords algebrasquantumcounterpartsharmonicjacobioperatorsoscillatorreal
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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.

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