On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling

Inventiones mathematicae ◽

10.1007/s00222-019-00872-7 ◽

2019 ◽

Vol 217 (2) ◽

pp. 603-701 ◽

Author(s):

Michael Goldstein ◽

Wilhelm Schlag ◽

Mircea Voda

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

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Asymptotics of the Negative Discrete Spectrum of a Class of Schrodinger Operators with Large Coupling Constant

Proceedings of the American Mathematical Society ◽

10.2307/2159932 ◽

1993 ◽

Vol 119 (2) ◽

pp. 481 ◽

Author(s):

Ari Laptev

Keyword(s):

Discrete Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Coupling Constant ◽

Large Coupling ◽

Large Coupling Constant

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Asymptotics of the negative discrete spectrum of a class of Schrödinger operators with large coupling constant

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1993-1149974-0 ◽

1993 ◽

Vol 119 (2) ◽

pp. 481-481

Author(s):

Ari Laptev

Keyword(s):

Discrete Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Coupling Constant ◽

Large Coupling ◽

Large Coupling Constant

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Spectral shift function for perturbed periodic Schrödinger operators. The large-coupling constant limit case

Asymptotic Analysis ◽

10.3233/asy-2011-1062 ◽

2011 ◽

Vol 75 (3-4) ◽

pp. 233-250

Author(s):

Mouez Dimassi ◽

Maher Zerzeri

Keyword(s):

Schrödinger Operators ◽

Spectral Shift ◽

Shift Function ◽

Schrodinger Operators ◽

Spectral Shift Function ◽

Coupling Constant ◽

Large Coupling ◽

Large Coupling Constant ◽

Perturbed Periodic

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Large Coupling Asymptotics for the Lyapunov Exponent of Quasi-Periodic Schrödinger Operators with Analytic Potentials

Annales Henri Poincaré ◽

10.1007/s00023-017-0626-6 ◽

2017 ◽

Vol 19 (1) ◽

pp. 249-265 ◽

Author(s):

Rui Han ◽

Chris A. Marx

Keyword(s):

Lyapunov Exponent ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

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Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrödinger operators

Nonlinearity ◽

10.1088/1361-6544/abc597 ◽

2021 ◽

Vol 34 (4) ◽

pp. 2116-2154

Author(s):

Jinhao Liang

Keyword(s):

Lyapunov Exponent ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

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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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Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on $${\mathbb {R}}^d$$

Communications in Mathematical Physics ◽

10.1007/s00220-021-04174-z ◽

2021 ◽

Author(s):

Yunfeng Shi

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators

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