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Journal Articles Infinite Dimensional Analysis, Quantum Probability and Related Topics Year : 2013

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

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.
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Dates and versions

hal-00586381 , version 1 (15-04-2011)

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René Schott, George Stacey Staples. Operator calculus and invertible Clifford Appell systems: theory and application to the n-particle fermion algebra. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013, 16 (1), ⟨10.1142/S0219025713500070⟩. ⟨hal-00586381⟩
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