One-Dimensional Ergodic Schrödinger Operators

DOI10.1090/gsm/221zbMath1504.58001OpenAlexW4320068279MaRDI QIDQ5073841

David Damanik, Jake Fillman

Publication date: 3 May 2022

Published in: Graduate Studies in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/gsm/221

zbMATH Keywords

discrete ergodic Schrödinger operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis (58-01) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Dynamics in general topological spaces (37B02)

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