SCATTERING THEORY APPROACH TO RANDOM SCHRÖDINGER OPERATORS IN ONE DIMENSION

DOI10.1142/S0129055X99000088zbMath0957.60101arXivmath-ph/0011032OpenAlexW2152882279MaRDI QIDQ4269416

Vadim Kostrykin, Robert Schrader

Publication date: 19 March 2001

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0011032

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) (2)-body potential quantum scattering theory (81U05)

Related Items

THE DENSITY OF STATES AND THE SPECTRAL SHIFT DENSITY OF RANDOM SCHRÖDINGER OPERATORS ⋮ Weak convergence of spectral shift functions for one‐dimensional Schrödinger operators ⋮ The generalized star product and the factorization of scattering matrices on graphs ⋮ Regularity of the surface density of states ⋮ An optimal \(L^p\)-bound on the Krein spectral shift function. ⋮ Localization for one-dimensional, continuum, Bernoulli-Anderson models. ⋮ Concavity of eigenvalue sums and the spectral shift function ⋮ The \(\Xi\) operator and its relation to Krein's spectral shift function ⋮ Estimates for the spectral shift function of the polyharmonic operator ⋮ The Wegner estimate and the integrated density of states for some random operators ⋮ The integrated density of states for some random operators with nonsign definite potentials

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