The Extended Fock Basis of Clifford Algebra

Details The Extended Fock Basis of Clifford Algebra The Extended Fock Basis of Clifford Algebra

2010-06-08

arxiv.org/abs/1006.1616v1

Physics

Mathematical Physics

16 pages

Scientific paper

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 $\Gamma$. 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).

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