The Extended Fock Basis of Clifford Algebra

Abstract

We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras introduced in [1]. We show that a Clifford algebra can be seen as a direct sum of multiple spinor subspaces that are characterized as being left eigenvectors of Γ. We also show that a simple spinor, expressed in Fock basis, can have a maximum number of non zero coordinates that equals the size of the maximal totally null plane (with the notable exception of vectorial spaces with 6 dimensions).

Minimal corrections to the published version

References in corpus (2)

• Space Inversion of Spinors Revisited: A Possible Explanation of Chiral Behavior in Weak Interactions
• On Computational Complexity of Clifford Algebra

Cited by in corpus (6)

• Pais-Uhlenbeck Oscillator and Negative Energies
• On Spinors Transformations
• Quantum Field Theories in Spaces with Neutral Signatures
• On Spinors of Zero Nullity
• On Clifford Algebras and binary integers
• On Spinors and Null Vectors