Quantum counterparts of VII$_{a}$, III$_{a=1}$, VI$_{a\neq1}$ over harmonic oscillator

E. Paal; J. Virkepu

arxiv: 1004.3122 · v1 · pith:2RZEZVC2new · submitted 2010-04-19 · 🧮 math-ph · hep-th· math.MP· quant-ph

Quantum counterparts of VII_(a), III_(a=1), VI_(aneq1) over harmonic oscillator

E. Paal , J. Virkepu This is my paper

classification 🧮 math-ph hep-thmath.MPquant-ph

keywords quantumalgebrascounterpartsharmonicoscillatorapproximationconstructdimensional

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Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of some real three dimensional Lie algebras. The Jacobi operators of these quantum algebras are studied in semiclassical approximation.

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Quantum counterparts of VII_(a), III_(a=1), VI_(aneq1) over harmonic oscillator

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