Operator calculus and invertible Clifford Appell systems: theory and application to the n-particle fermion algebraReport as inadecuate




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1 Probabilités et statistiques IECL - Institut Élie Cartan de Lorraine 2 TRIO - Real time and interoperability INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications 3 Department of Mathematics and Statistics - Southern Illinois University

Abstract : Motivated by evolution equations on Clifford algebras and illustrated with the n-particle fermion algebra, a theory of invertible left-and right-Appell systems is developed for Clifford algebras of an arbitrary quadratic form. This work extends and clarifies the authors - earlier work on Clifford Appell systems, operator calculus, and operator homology-cohomology. A direct connection is also shown between blade factorization algorithms and the construction of Appell systems in these algebras.

Keywords : Appell systems Evolution equations Operator calculus Clifford algebras





Author: René Schott - G. Stacey Staples -

Source: https://hal.archives-ouvertes.fr/



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