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We calculate the spectral densities for two impurities inside an ellipticalquantum corral using exact diagonalization in the relevant Hilbert subspace andembedding into the rest of the system. For one impurity, the space and energydependence of the change in differential conductance $\Delta = dI/dV$ observedin the quantum mirage experiment is reproduced. In presence of anotherimpurity, $\Delta = dI/dV$ is very sensitive to the hybridization betweenimpurity and bulk. The impurities are correlated ferromagnetically betweenthem. A hopping $\gtrsim 0.15$ eV between impurities destroy the Kondoresonance.Comment: 4 pages, 4 figure

Interaction between Kondo impurities in a quantum corral