Aspects of landau-level broadening using the path integral representation

Summary With the help of Wiener-type path integrals we accomplish a systematic study of two different, previously proposed versions of a first-order cumulant approximation to the averaged density of states for an electron in two dimensions under the influence of a perpendicular homogeneous magnetic field and a homogeneous isotropic random potential. Explicit results are given for a Gaussian random potential with a Gaussian covariance function. To speed up publication, the authors have agreed not to receive proofs which have been supervised by the Scientific Committee.