Abstract
We propose an approach to the Kondo lattice in order to describe simultaneously the Kondo effect and the local magnetism. This approach relies on an original representation of the $S=1/2$ impurity spin in which the different degrees of freedom are represented by fermionic as well as bosonic variables. The band structure shows a bosonic mode in addition to the usual fermionic bands found in slave-boson theories. The density of states at the Fermi level is strongly enhanced and the Fermi-surface sum rule includes ${n}_{c}+1$ states. Finally, we study the dynamical spin susceptibility and the optical conductivity.
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