Classical and Quantum Fermions Linked by an Algebraic Deformation

Ali Mostafazadeh

We study the regular representation ${\rho }_{\zeta }$ of the single-fermion algebra ${\mathcal{A}}_{\zeta }$, i.e., $c^2=c^{+2}=0$, $c{c}^{+}+c^{+}c=\zeta 1$, for $\zeta \in [0,1]$. We show that ${\rho }_0$ is a four-dimensio…