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On the Moyal Star Product of Resurgent Series

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 نشر من قبل David Sauzin
 تاريخ النشر 2020
  مجال البحث فيزياء
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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 $ihbar/2$ with coefficients in $C{q,p}$), which we show is stable under Moyal star product.



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