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

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

2010-04-19

arxiv.org/abs/1004.3122v1

Physics

Mathematical Physics

9 pages, LaTeX2e

Scientific paper

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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