Spectrum of Multidimensional Schrödinger Operators with Sparse Potentials

Analytical and computational methods in scattering and applied mathematics ◽

10.1201/9780429186875-19 ◽

2019 ◽

pp. 231-254 ◽

Author(s):

S. Molchanov ◽

B. Vainberg

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Sparse Potentials

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Value distribution and spectral theory of Schrödinger operators with L2-sparse potentials

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00587-3 ◽

2002 ◽

Vol 148 (1) ◽

pp. 307-322

Author(s):

S.V. Breimesser ◽

James D.E. Grant ◽

D.B. Pearson

Keyword(s):

Spectral Theory ◽

Schrödinger Operators ◽

Value Distribution ◽

Schrodinger Operators ◽

Sparse Potentials

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Schrödinger Operators with Random Sparse Potentials. Existence of Wave Operators

Letters in Mathematical Physics ◽

10.1023/b:math.0000032704.88514.9c ◽

2004 ◽

Vol 67 (2) ◽

pp. 133-139 ◽

Author(s):

Denis Krutikov

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Wave Operators ◽

Sparse Potentials

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A Probabilistic Approach to One-Dimensional Schrödinger Operators with Sparse Potentials

Communications in Mathematical Physics ◽

10.1007/s002200050092 ◽

1997 ◽

Vol 185 (2) ◽

pp. 313-323 ◽

Author(s):

C. Remling

Keyword(s):

Schrödinger Operators ◽

Probabilistic Approach ◽

Schrodinger Operators ◽

One Dimensional ◽

Sparse Potentials

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Schrödinger Operators with Sparse Potentials: Asymptotics of the Fourier Transform¶of the Spectral Measure

Communications in Mathematical Physics ◽

10.1007/s002200100552 ◽

2001 ◽

Vol 223 (3) ◽

pp. 509-532 ◽

Author(s):

Denis Krutikov ◽

Christian Remling

Keyword(s):

Fourier Transform ◽

Spectral Measure ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Sparse Potentials ◽

The Fourier Transform

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Spectral estimates for Schrödinger operators with sparse potentials on graphs

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0401-z ◽

2011 ◽

Vol 176 (3) ◽

pp. 458-474 ◽

Author(s):

G. Rozenblum ◽

M. Solomyak

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Estimates ◽

Sparse Potentials

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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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