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

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

2010-02-14

arxiv.org/abs/1002.2806v1

Physics

Mathematical Physics

Scientific paper

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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