On Asymptotic Behaviour of the Spectra of a One-Dimensional Hamiltonlan with a Certain Random Coefficient

if it exists, where I\ is the length of /. The operator L has been used as a Schrodinger operator describing a motion of an electron in a one-dimensional random array of atoms (cf. M. Lax-J. C. Phillips [1], L M. Lifsic [2]). We are concerned with the study of asymptotic properties of -ZV(A) at the edges of the support. One interest is in making clear the influences caused by the randomness of potentials. One of them is the exponential decay of N(X) at the left edge, which was shown by many authors for various potentials (cf. H. L. Frisch-S. P. Lloyd [3], M. M. Benderskii-L. A. Pastur [4], [5], T. P. Eggarter [6] ) . L. A. Pastur [7] is a survey written mainly from mathematical points of view and gives us good informations about the problems arising