论文标题

挤压操作员:古典视图

Squeeze operator: a classical view

论文作者

Garcia-Chung, Angel

论文摘要

在本文中,我们显示了$ sp(4,\ mathbb {r})$,Symplectic组的Lie代数与Symplectic Group $ sp(4,\ Mathbb {r})$之间的关系。我们使用此关系来提供挤压操作员$ \ widehat {s}(ζ)$的经典类似物。此经典的挤压矩阵与相关矩阵$ {\ bf v}^{(2)} $具有一些相似之处,其挤压量是相关矩阵中的一半。

In this paper we show the relation between $sp(4,\mathbb{R})$, the Lie algebra of the symplectic group, and the elements of the symplectic group $Sp(4,\mathbb{R})$. We use this relation to provide a classical analog of the squeeze operator $\widehat{S}(ζ)$. This classical squeeze matrix shares some similarities with the correlation matrix ${\bf V}^{(2)}$ and its amount of squeezing is half of that in the correlation matrix.

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