6533b7dafe1ef96bd126ecc7

RESEARCH PRODUCT

Resurgent Deformation Quantisation

Duco Van StratenAxel Marcillaud De GoursacMauricio Garay

subject

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

description

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.

yearjournalcountryeditionlanguage
2013-09-02
10.1016/j.aop.2013.12.004http://arxiv.org/abs/1309.0437