2D binary operadic Lax representation for harmonic oscillator

Abstract

It is explained how the time evolution of operadic variables may be introduced by using the operadic Lax equation. As an example, a 2-dimensional binary operadic Lax representation for the harmonic oscillator is constructed.

7 pages, LaTeX2e, no figures

References in corpus (1)

• Note on operadic harmonic oscillator

Cited by in corpus (6)

• 3D binary anti-commutative operadic Lax representations for harmonic oscillator
• Dynamical deformations of three-dimensional Lie algebras in Bianchi classification over the harmonic oscillator
• Quantum counterparts of 3d Lie algebras over harmonic oscillator
• Quantum counterparts of VII${}_a$, III${}_{a=1}$, VI${}_{a\ne 1}$ over harmonic oscillator
• Operadic quantization
• VII${}_a^{\hslash }$, III${}_{a=1}^{\hslash }$, VI${}_{a\ne 1}^{\hslash }$