On the generalized Wannier functions

DOI10.1063/1.4936303zbMath1330.35092arXiv0711.1447OpenAlexW3100554258MaRDI QIDQ3457180

Emil Prodan

Publication date: 10 December 2015

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

Full work available at URL: https://arxiv.org/abs/0711.1447

zbMATH Keywords

energy spectrumsingle particle Schrödinger operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Statistical mechanics of crystals (82D25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Ultra-generalized Wannier bases: Are they relevant to topological transport? ⋮ Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators ⋮ On the construction of composite Wannier functions ⋮ Existence and computation of generalized Wannier functions for non-periodic systems in two dimensions and higher

Cites Work

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• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• Existence of the exponentially localized Wannier functions
• The existence of generalised Wannier functions for one-dimensional systems
• Analytic Properties of Bloch Waves and Wannier Functions
• Optimally localized Wannier functions for quasi one-dimensional nonperiodic insulators
• The Structure of Electronic Excitation Levels in Insulating Crystals

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