Negative Eigenvalues of Two-Dimensional Schrödinger Operators

Alexander Grigor’yan; Nikolai Nadirashvili

doi:10.1007/s00205-015-0848-z

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 ◽

Cited By ~ 6

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 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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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 ◽

Cited By ~ 11

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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 9

Author(s):

Hideo Tamura

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Efimov Effect ◽

Negative Eigenvalues ◽

Three Body

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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 ◽

Cited By ~ 39

Author(s):

Kenji Yajima

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Wave Operators

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Faddeev eigenfunctions for two-dimensional Schrödinger operators via the Moutard transformation

Theoretical and Mathematical Physics ◽

10.1007/s11232-013-0098-x ◽

2013 ◽

Vol 176 (3) ◽

pp. 1176-1183 ◽

Cited By ~ 4

Author(s):

I. A. Taimanov ◽

S. P. Tsarev

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Moutard Transformation

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Two Dimensional Magnetic Schrödinger Operators: Width of Mini Bands in the Tight Binding Approximation

Annales Henri Poincaré ◽

10.1007/pl00001003 ◽

2000 ◽

Vol 1 (2) ◽

pp. 203-222 ◽

Cited By ~ 6

Author(s):

H.D. Cornean ◽

G. Nenciu

Keyword(s):

Schrödinger Operators ◽

Tight Binding ◽

Schrodinger Operators ◽

Two Dimensional ◽

Tight Binding Approximation

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Spectral Estimates for Two-Dimensional Schrödinger Operators with Application to Quantum Layers

Communications in Mathematical Physics ◽

10.1007/s00220-007-0318-z ◽

2007 ◽

Vol 275 (3) ◽

pp. 827-838 ◽

Cited By ~ 3

Author(s):

Hynek Kovařík ◽

Semjon Vugalter ◽

Timo Weidl

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional ◽

Spectral Estimates

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On the number of negative eigenvalues of Schrödinger operators with an Aharonov–Bohm magnetic field

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2001.0851 ◽

2001 ◽

Vol 457 (2014) ◽

pp. 2481-2489 ◽

Cited By ~ 8

Author(s):

A. A. Balinsky ◽

W. D. Evans ◽

R. T. Lewis

Keyword(s):

Magnetic Field ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Negative Eigenvalues ◽

Aharonov Bohm

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