Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians

DOI10.4171/JST/103zbMath1330.82029arXiv1311.4220OpenAlexW2963222970WikidataQ114021462 ScholiaQ114021462MaRDI QIDQ2515803

Son T. Nguyen, Abel Klein

Publication date: 6 August 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4220

zbMATH Keywords

multiscale analysisAnderson localizationdynamical localizationmulti-particle localizationcontinuous Anderson Hamiltonianmulti-particle Anderson Hamiltonianmulti-particle random Schrödinger operatorsmulti-particle Wegner estimates

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) 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)

Related Items (9)

Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling ⋮ Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ Characterization of the metal-insulator transport transition for the two-particle Anderson model ⋮ Universal regularity of higher-dimensional disorder and density of states under non-local interactions. I: Infinite smoothness and localization ⋮ An eigensystem approach to Anderson localization for multi-particle systems ⋮ Localization in the multi-particle tight-binding Anderson model at low energy ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian ⋮ On partial charge transfer processes in multiparticle systems on graphs

Cites Work

• Wegner-type bounds for a multi-particle continuous anderson model with an Alloy-type external potential
• Localization bounds for multiparticle systems
• Finite-volume fractional-moment criteria for Anderson localization

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