On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials

Journal of Mathematical Physics ◽

10.1063/5.0004481 ◽

2020 ◽

Vol 61 (5) ◽

pp. 051509

Author(s):

Martin Karuhanga ◽

Eugene Shargorodsky

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Singular Potentials ◽

Negative Eigenvalues

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Negative Eigenvalues of Two-Dimensional Schrödinger Operators

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-015-0848-z ◽

2015 ◽

Vol 217 (3) ◽

pp. 975-1028 ◽

Author(s):

Alexander Grigor’yan ◽

Nikolai Nadirashvili

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Negative Eigenvalues

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On negative eigenvalues of two-dimensional Schrödinger operators

Proceedings of the London Mathematical Society ◽

10.1112/plms/pdt036 ◽

2013 ◽

Vol 108 (2) ◽

pp. 441-483 ◽

Author(s):

Eugene Shargorodsky

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Negative Eigenvalues

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On estimates for the number of negative eigenvalues of two-dimensional Schrödinger operators with potentials supported by Lipschitz curves

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.07.060 ◽

2017 ◽

Vol 456 (2) ◽

pp. 1365-1379 ◽

Author(s):

Martin Karuhanga

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Negative Eigenvalues

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Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains

St Petersburg Mathematical Journal ◽

10.1090/spmj/1559 ◽

2019 ◽

Vol 30 (3) ◽

pp. 573-589

Author(s):

R. L. Frank ◽

A. Laptev

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Negative Eigenvalues

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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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L p -Boundedness of Wave Operators for¶Two Dimensional Schrödinger Operators

Communications in Mathematical Physics ◽

10.1007/s002200050751 ◽

1999 ◽

Vol 208 (1) ◽

pp. 125-152 ◽

Author(s):

Kenji Yajima

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

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Note on a paper of Simon on essentially self-adjoint Schrödinger operators with singular potentials

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00247736 ◽

1973 ◽

Vol 52 (3) ◽

pp. 258-260 ◽

Author(s):

Hubert Kalf ◽

Johann Walter

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials

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Lp-theory of Schrödinger operators with strongly singular potentials

Japanese journal of mathematics ◽

10.4099/math1924.22.199 ◽

1996 ◽

Vol 22 (2) ◽

pp. 199-239 ◽

Author(s):

Noboru OKAZAWA

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials ◽

Strongly Singular Potentials

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Unique continuation for schrodinger operators with singular potentials

Communications in Partial Differential Equations ◽

10.1080/03605309208820871 ◽

1992 ◽

Vol 17 (5-6) ◽

pp. 953-965 ◽

Author(s):

Yifei Pan

Keyword(s):

Schrödinger Operators ◽

Unique Continuation ◽

Schrodinger Operators ◽

Singular Potentials

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