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Resurgent Deformation Quantisation

We construct a version of the complex Heisenberg algebra based on the idea of endless analytic continuation. In particular, we exhibit an integral formula for the product of resurgent operators with algebraic singularities. This algebra would be large enough to capture quantum effects that escape ordinary formal deformation quantisation.

9 nodes8 linksoverview previewResurgent Deformation Quantisation
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Resurgent Deformation Quantisation9 visible / 9 total nodes / 11 links
Co-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipTopic signalTopic signalTopic signalTopic signalTopic signalWResurgent Deformation Quantisationpreprint / 2014AMauricio GarayResearcherAAxel de GoursacResearcherADuco van StratenResearcherTquant-ph17817 worksTmath-ph7974 worksTmath.MP7972 worksTmath.AG5393 worksTmath.QA1454 works
PaperSignal 108 links

Resurgent Deformation Quantisation

preprint / 2014

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