Eigenvalue Correlations in Continuum One-dimensional Anderson Models

For a large class of one-dimensional, continuum random Schrödinger operators we prove an N -level Wegner estimate. Such estimates bound the probability that the corresponding finite volume Hamiltonians have N eigenvalues in an energy interval [a, b]. Our bounds, which only employ basic Prüfer variable techniques, are proportional to the N -th power of the product of the size of the interval and the volume, and therefore, they demonstrate an absence of correlations between close eigenvalues at any order.