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

Abstract

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.

arXiv admin note: text overlap with arXiv:0901.4264

Cited by in corpus (2)

• Operadic quantization
• VII${}_a^{\hslash }$, III${}_{a=1}^{\hslash }$, VI${}_{a\ne 1}^{\hslash }$