Multiscale analysis in momentum space for quasi-periodic potential in dimension two

DOI10.1063/1.4811547zbMath1292.81044arXiv1209.1735OpenAlexW3103426884MaRDI QIDQ5407596

Roman Shterenberg, Yulia E. Karpeshina

Publication date: 7 April 2014

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

Full work available at URL: https://arxiv.org/abs/1209.1735

zbMATH Keywords

eigenfunctionsmultiscale analysisabsolutely continuous spectrumpolyharmonic operatorsquasi-periodic potentialsisoenergetic curves

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fractals (28A80) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (3)

Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two ⋮ Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two ⋮ Absence of eigenvalues of analytic quasi-periodic Schrödinger operators on \({\mathbb{R}}^d\)

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