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Correlated, or extended, impurities play an important role in the transportproperties of dirty metals. Here, we examine, in the framework of atight-binding lattice, the transmission of a single electron through an arrayof correlated impurities. In particular we show that particles transmit throughan impurity array in identical fashion, regardless of the direction oftransversal. The demonstration of this fact is straightforward in the continuumlimit, but requires a detailed proof for the discrete lattice. We also brieflydemonstrate and discuss the time evolution of these scattering states, todelineate regions (in time and space) where the aforementioned symmetry isviolated

Hidden symmetries of electronic transport in a disordered one-dimensional lattice