  We analyze in detail all the possible fixed points of the effective
Hamiltonian of a non-magnetic impurity hopping between two sites in a metal
obtained by Moustakas and Fisher(MF). We find a line of non-fermi liquid fixed
points which continuously interpolates between the 2-channel Kondo fixed
point(2CK) and the one channel, two impurity Kondo (2IK) fixed point. The
additional non-fermi liquid fixed point found by MF has the same symmetry as
the 2IK, The system is shown to flow to a line of fermi-liquid fixed points
which continuously interpolates between the non-interacting fixed point and the
2 channel spin-flavor Kondo fixed point (2CSFK) discussed by the author
previously. The effect of particle-hole symmetry breaking is discussed. The
effective Hamiltonian in the external magnetic field is analysed. The scaling
functions for the physical measurable quantities are derived in the different
regimes; their predictions for the experiments are given. Finally the
implications are given for a non-magnetic impurity hopping around three sites
with triangular symmetry discussed by MF.

Strongly Correlated Electrons