论文标题
飞机上的广义点涡流
Generalised point vortices on a plane
论文作者
论文摘要
在liouville的意义上，众所周知，飞机上的三涡式系统是最少的。在这项工作中，提出了涉及简单谎言代数的根矢量的三涡流平面模型的可集成概括。结果表明，受积极明确的哈密顿量支配的广义系统承认自然的自由度可以自然的整合扩展。人们强调的是，N-涡流平面模型及其大量概括符合非同性化的规模不变性，这为可能的全息应用提供了空间。
A three-vortex system on a plane is known to be minimally superintegrable in the Liouville sense. In this work, integrable generalisations of the three-vortex planar model, which involve root vectors of simple Lie algebras, are proposed. It is shown that a generalised system, which is governed by a positive definite Hamiltonian, admits a natural integrable extension by spin degrees of freedom. It is emphasised that the n-vortex planar model and plenty of its generalisations enjoy the nonrelativistic scale invariance, which gives room for possible holographic applications.
