论文标题
在复兴系列的Moyal Star产品上
On the Moyal Star Product of Resurgent Series
论文作者
论文摘要
我们从复兴理论的角度分析了变形量化的摩尔星产品。通过将代数条件放在Borel Transforms上,可以定义``Algebro-risurgent系列''的空间($ 1 $ -GEVREY系列的子空间中的$ i \ i \ hbar/2 $具有$ c \ c \ c \ c \ {q,p \} $系数的正式系列。
We analyze the Moyal star product in deformation quantization from the resurgence theory perspective. By putting algebraic conditions on Borel transforms, one can define the space of ``algebro-resurgent series'' (a subspace of $1$-Gevrey formal series in $i\hbar/2$ with coefficients in $C\{q,p\}$), which we show is stable under Moyal star product.