We present a theory for the single-particle excitations and Fermi surf
ace of the Kondo lattice. Thereby we construct an effective Hamiltonia
n describing the creation and propagation of single particle-like char
ge fluctuations on a ''resonating-valence-bond background'' of local s
inglets. The theory may be viewed as a Fermionic version of linear spi
n-wave theory and is of comparable simplicity so that the calculations
for the strong-coupling limit can be performed analytically. We calcu
late the single-particle spectral function for the ''pure'' Kondo latt
ice as well as for several extended versions: with a Coulomb repulsion
between conduction and f electrons, Coulomb repulsion between conduct
ion electrons, and a ''breathing'' f orbital. In all cases we study th
e evolution of the spectrum in going from the Kondo insulator to the h
eavy electron metal. We compare our results to exact diagonalization o
f small clusters and find remarkable agreement in nearly all cases stu
died. In the metallic case the f electrons participate in the Fermi su
rface volume even when they are replaced by localized Kondo spins and
the number of bands, their dispersion and spectral character, and the
nontrivial (i.e., nonrigid bandlike) doping dependence including a pro
nounced transfer of spectral weight are reproduced at least semiquanti
tatively by the theory. [S0163-1829(98)02236-X].