Author: Axel Marcillaud De Goursac

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AUTHOR

Axel Marcillaud De Goursac

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Resurgent Deformation Quantisation

2013

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.

PhysicsQuantum PhysicsAnalytic continuationGeneral Physics and AstronomyFOS: Physical sciencesConstruct (python library)Mathematical Physics (math-ph)Deformation (meteorology)Theoretical physicsMathematics - Algebraic GeometryMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Algebra over a fieldQuantum Physics (quant-ph)Algebraic Geometry (math.AG)Mathematical Physics

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