Physics – Mathematical Physics
Scientific paper
2006-10-23
J. Gen Lie Theory Appl. Vol. 1 (2007), 57-63
Physics
Mathematical Physics
LaTeX2e, 7 pages, no figures
Scientific paper
Based on the Gerstenhaber Theory, clarification is made of how operadic
dynamics may be introduced. Operadic observables satisfy the Gerstenhaber
algebra identities and their time evolution is governed by operadic evolution
equation. The notion of an operadic Lax pair is also introduced. As an example,
an operadic (representation of) harmonic oscillator is proposed.
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