The purpose of this paper is to study the limit distribution of individual eigenvalue of 1-dimensional Schrödinger operators with random potentials derived from the derivatives of compound Poisson processes possessing purely positive jumps or purely negative jumps. The central limit theorem for ``middle eigenvalue'' is also investigated.
"On asymptotics of Eigenvalues for a certain 1-dimensional random Schrödinger operator." Osaka J. Math. 48 (1) 69 - 89, March 2011.