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A Grassmann functional phase space is formulated for the definition offermionic Wigner functionals. We identify suitable fermionic operators that areanalogues to boson quadrature operators. Instead of the Majorana operators, weuse operators that are defined with relative spin transformations between theladder operators. The eigenstates of these operators are shown to provideorthogonal bases, provided that the dual space is defined with theincorporation of a spin transformation. These bases then serve as quadraturebases in terms of which the Wigner functionals are defined in a way equivalentto the bosonic case.

Fermion quadrature bases for a Wigner functional theory