Internal Lifshitz tails for Schrödinger operators with random potentials

DOI10.1063/1.1470706zbMath1061.82017OpenAlexW2024545023MaRDI QIDQ4832640

Frédéric Klopp

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1470706

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80) Linear difference operators (47B39)

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Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1
• Lifshitz tails for random Schrödinger operators with negative singular Poisson potential
• On the spectrum of Schrödinger operators with a random potential
• Internal Lifshits tails for random perturbations of periodic Schrödinger operators.
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder