Density of states in the non-Hermitian Lloyd model

We reconsider the recently proposed connection between density of states in the so-called "non-Hermitian quantum mechanics" and the localization lengt h for a particle moving in random potential. We argue that it is indeed pos sible to find the localization length from the density of states of anon-He rmitian random "Hamiltonian." However, finding the density of states of a n on-Hermitian random Hamiltonian remains an open problem, contrary to previo us findings in the literature. [S0163-1829(98)05144-3].