OPERATOR CALCULUS AND INVERTIBLE CLIFFORD APPELL SYSTEMS: THEORY AND APPLICATION TO THE n-PARTICLE FERMION ALGEBRA

DOI10.1142/S0219025713500070zbMath1285.15013OpenAlexW2062749964MaRDI QIDQ2854015

René Schott, George Stacey Staples

Publication date: 17 October 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025713500070

zbMATH Keywords

contractionquadratic formClifford algebrasexterior productAppell systems, fermions

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Probability theory on algebraic and topological structures (60B99)

Related Items (2)

Kravchuk polynomials and induced/reduced operators on Clifford algebras ⋮ Kravchuk matrices and induced operators on Clifford algebras

Uses Software

• CliffOC

Cites Work

• A new adjacency matrix for finite graphs
• Fermion Ito's formula and stochastic evolutions
• The Ito-Clifford integral
• Appell systems on Lie groups
• Duality and multiplicative stochastic processes on quantum groups
• States of the Clifford algebra
• Graph-theoretic approach to stochastic integrals with Clifford algebras
• Operator Homology and Cohomology in Clifford Algebras
• Cartoon computation: quantum-like computing without quantum mechanics
• An algebraic central limit theorem in the anti-commuting case
• Fermion stochastic calculus in Dirac-Fock space

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