论文标题

哈密​​顿分散和量化的渐近表示

Asymptotic representations of Hamiltonian diffeomorphisms and quantization

论文作者

Charles, Laurent, Polterovich, Leonid

论文摘要

我们表明,对于具有“小”量子误差的特殊类别量化,量子经典对应关系产生了渐近的hamiltonian diffefomormorlisms的渐近投射表示。作为应用程序,我们对有限提出的群体的哈密顿行为有阻碍。

We show that for a special class of geometric quantizations with "small" quantum errors, the quantum classical correspondence gives rise to an asymptotic projective representation of the group of Hamiltonian diffeomorphisms. As an application, we get an obstruction to Hamiltonian actions of finitely presented groups.

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