Quantum diffusion and delocalization for band matrices with general distribution

DOI10.1007/s00023-011-0104-5zbMath1247.15033arXiv1005.1838OpenAlexW2061299969MaRDI QIDQ644338

László Erdős, Antti Knowles

Publication date: 4 November 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1838

zbMATH Keywords

quantum theoryeigenvalueHamiltonianrandom matriceseigenvectorsclosed and approximate solutionquantum-mechanical equationselfadjoint operator theory

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalues, singular values, and eigenvectors (15A18) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random matrices (algebraic aspects) (15B52)

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Cites Work

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• The spectral edge of some random band matrices
• A universality result for the smallest eigenvalues of certain sample covariance matrices
• Universality at the edge of the spectrum in Wigner random matrices.
• An Introduction to Random Matrices
• Spectral norm of random matrices