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arXiv math-ph/0610053math-phmath.MP
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邀请操作动力学

Invitation to operadic dynamics

Eugen Paal

摘要:

基于Gerstenhaber理论,阐明了如何引入操作动力学。运算观测量满足Gerstenhaber代数恒等式,其时间演化由运算演化方程控制。还介绍了运算拉克斯对的概念。作为一个例子,提出了一个谐振子的算符表示。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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