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math-ph2006★ 1 cited
Covariant Deformation Quantization of Free Fields
Dikanaina Harrivel
We define covariantly a deformation of a given algebra, then we will see how it can be related to a deformation quantization of a class of observables in Quantum Field Theory. Then…
math-ph2006
Perturbative classical and quantum field theory
Dikanaina Harrivel
In a first part we study the phi^{p+1}--field theory from the classical point of view. Using Butcher series we compute explicitly the perturbative expansion of the solutions and we…
math.OC2006★ 3 cited
Butcher series and control theory
Dikanaina Harrivel
We show how solutions of a non--linear differential equation can be written as sum indexed by planar trees: the Butcher series. Then we use that property in order to control non--l…