3D binary anti-commutative operadic Lax representations for harmonic oscillator

Details 3D binary anti-commutative operadic Lax representations for harmonic oscillator 3D binary anti-commutative operadic Lax representations for harmonic oscillator

2008-06-08

arxiv.org/abs/0806.1349v2

Physics

Mathematical Physics

7 pages, LaTeX2e, no figures

Scientific paper

It is explained how the time evolution of the operadic variables may be
introduced by using the operadic Lax equation. The operadic Lax representations
for the harmonic oscillator are constructed in 3-dimensional binary
anti-commutative algebras. As an example, an operadic Lax representation for
the harmonic oscillator in the Lie algebra sl(2) is constructed.

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