منابع مشابه
The Fedosov *-product in Mathematica
The computer program ‘Fecom.nb’ implementing the Fedosov ∗-product in Darboux coordinates is presented. It has been written in Mathematica 6.0 but it can be easily modified to be run in some earlier version of Mathematica. To optimize computations elements of the Weyl algebra are treated as polynomials. Several procedures which order the terms are included.
متن کاملGeometrical origin of the ∗-product in the Fedosov formalism
The construction of the ∗-product proposed by Fedosov is implemented in terms of the theory of fibre bundles. The geometrical origin of the Weyl algebra and the Weyl bundle is shown. Several properties of the product in the Weyl algebra are proved. Symplectic and abelian connections in the Weyl algebra bundle are introduced. Relations between them and the symplectic connection on a phase space ...
متن کاملHow to Calculate the Fedosov Star–product (exercices De Style)
This is an expository note on Fedosov’s construction of deformation quantization. Given a symplectic manifold and a connection on it, we show how to calculate the star-product step by step. We draw simple diagrams to solve the recursive equations for the Fedosov connection and for flat sections of the Weyl algebra bundle corresponding to functions. We also reflect on the differences of symplect...
متن کاملFedosov supermanifolds: II. Normal coordinates
The formulation of fundamental physical theories, classical as well as quantum ones, by differential geometric methods nowadays is well established and has a great conceptual virtue. Probably, the most prominent example is the formulation of general relativity on Riemannian manifolds, i.e., the geometrization of the gravitational force; no less important is the geometric formulation of gauge fi...
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ژورنال
عنوان ژورنال: Computer Physics Communications
سال: 2008
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2008.07.009