  The conformational and electronic properties of conducting flexible random
and self-avoiding walk polymer chains are under investigation. A Hamiltonian
for conjugated flexible polymers is introduced and its physical consequences
are presented. One important result is that the electronic degrees of freedom
greatly affect the conformational statistics of the walks and vice versa. The
electronic degrees of freedom extend the size of the chain. The end-to-end
distance behaves as $R\propto L^{\nu}$ with $\nu=(d+1)/(d+2)$, where $d$ is the
spatial dimension.
