Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum

Journal of Spectral Theory ◽

10.4171/jst/186 ◽

2017 ◽

Vol 7 (4) ◽

pp. 1101-1118 ◽

Author(s):

David Damanik ◽

Jake Fillman ◽

Milivoje Lukic

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Zero Measure ◽

Cantor Spectrum

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Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2005.11.002 ◽

2006 ◽

Vol 85 (5) ◽

pp. 671-686 ◽

Author(s):

David Damanik ◽

Daniel Lenz

Keyword(s):

Schrödinger Operators ◽

Low Complexity ◽

Schrodinger Operators ◽

Zero Measure ◽

Cantor Spectrum

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Cantor Spectrum for a Class of $C^2$ Quasiperiodic Schrödinger Operators

International Mathematics Research Notices ◽

10.1093/imrn/rnw079 ◽

2016 ◽

pp. rnw079 ◽

Author(s):

Yiqian Wang ◽

Zhenghe Zhang

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Cantor Spectrum

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Multidimensional Almost-Periodic Schrödinger Operators with Cantor Spectrum

Annales Henri Poincaré ◽

10.1007/s00023-019-00768-5 ◽

2019 ◽

Vol 20 (4) ◽

pp. 1393-1402 ◽

Author(s):

David Damanik ◽

Jake Fillman ◽

Anton Gorodetski

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Almost Periodic ◽

Cantor Spectrum

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Construction of QuasiPeriodic Schrödinger Operators with Cantor Spectrum

Annales Henri Poincaré ◽

10.1007/s00023-019-00846-8 ◽

2019 ◽

Vol 20 (11) ◽

pp. 3563-3601

Author(s):

Xuanji Hou ◽

Yuan Shan ◽

Jiangong You

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Cantor Spectrum

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Cantor Spectrum for Quasi-Periodic Schrödinger Operators

Mathematical Physics of Quantum Mechanics - Lecture Notes in Physics ◽

10.1007/3-540-34273-7_9 ◽

2006 ◽

pp. 79-91 ◽

Author(s):

Joaquim Puig

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Cantor Spectrum

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Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts

Duke Mathematical Journal ◽

10.1215/00127094-2008-065 ◽

2009 ◽

Vol 146 (2) ◽

pp. 253-280 ◽

Author(s):

Artur Avila ◽

Jairo Bochi ◽

David Damanik

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Cantor Spectrum

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Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect

Spectral and Scattering Theory and Applications ◽

10.2969/aspm/02310311 ◽

2018 ◽

Author(s):

Hideo Tamura

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Efimov Effect ◽

Negative Eigenvalues ◽

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Weyl formulae for Schrödinger operators with critically singular potentials

Communications in Partial Differential Equations ◽

10.1080/03605302.2021.1925915 ◽

2021 ◽

pp. 1-46

Author(s):

Xiaoqi Huang ◽

Christopher D. Sogge

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials

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Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2021.103031 ◽

2021 ◽

pp. 103031

Author(s):

Trong Ngoc Nguyen ◽

Truong Xuan Le ◽

Tan Duc Do

Keyword(s):

Hardy Spaces ◽

Schrödinger Operators ◽

Higher Order ◽

Schrodinger Operators ◽

Weighted Hardy Spaces

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Existence of the Gauge for Fractional Laplacian Schrödinger Operators

Journal of Geometric Analysis ◽

10.1007/s12220-020-00576-y ◽

2021 ◽

Author(s):

Michael W. Frazier ◽

Igor E. Verbitsky

Keyword(s):

Fractional Laplacian ◽

Schrödinger Operators ◽

Schrodinger Operators

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