Quantum counterparts of 3d Lie algebras over harmonic oscillator

Abstract

Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of 3d real Lie algebras. The Jacobians of the corresponding quantum algebras are calculated.

References in corpus (4)

• Note on operadic harmonic oscillator
• 2D binary operadic Lax representation for harmonic oscillator
• 3D binary anti-commutative operadic Lax representations for harmonic oscillator
• Dynamical deformations of three-dimensional Lie algebras in Bianchi classification over the harmonic oscillator

Cited by in corpus (2)

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