On estimation of the number of eigenvalues of the magnetic Schrödinger operator in a three-dimensional layer

Araz R. ALIEV; Elshad H. EYVAZOV; Shahin Sh. RAJABOV

doi:10.3906/mat-2107-43

On estimation of the number of eigenvalues of the magnetic Schrödinger operator in a three-dimensional layer

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-2107-43 ◽

2021 ◽

Vol 45 (5) ◽

pp. 2260-2268

Author(s):

Araz R. ALIEV ◽

Elshad H. EYVAZOV ◽

Shahin Sh. RAJABOV

Keyword(s):

Schrödinger Operator ◽

Three Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator

Asymptotic Analysis ◽

10.3233/asy-2012-1136 ◽

2013 ◽

Vol 82 (1-2) ◽

pp. 65-89

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operator ◽

Three Dimensional ◽

Schrodinger Operator ◽

Eigenvalue Estimates ◽

Magnetic Schrödinger Operator

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Magnetic Schrödinger Operator: Short Loops, Pointwise Spectral Asymptotics and Asymptotics of Dirac Energy

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III ◽

10.1007/978-3-030-30537-6_16 ◽

2019 ◽

pp. 415-563

Author(s):

Victor Ivrii

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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An inverse problem for the magnetic Schrödinger operator on Riemannian manifolds from partial boundary data

Inverse Problems & Imaging ◽

10.3934/ipi.2018034 ◽

2018 ◽

Vol 12 (3) ◽

pp. 801-830 ◽

Cited By ~ 1

Author(s):

Sombuddha Bhattacharyya ◽

Keyword(s):

Inverse Problem ◽

Riemannian Manifolds ◽

Schrödinger Operator ◽

Boundary Data ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Temporally stable coherent states for a free magnetic Schrödinger operator

Journal of Mathematical Physics ◽

10.1063/1.1760846 ◽

2004 ◽

Vol 45 (7) ◽

pp. 2694-2717 ◽

Cited By ~ 1

Author(s):

K. Thirulogasanthar ◽

Nasser Saad ◽

Attila B. von Keviczky

Keyword(s):

Schrödinger Operator ◽

Coherent States ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrodinger operator

Proceedings of the Fourth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 18–22 August 1993 ◽

10.1515/9783112318874-027 ◽

1994 ◽

pp. 245-252

Keyword(s):

Electric Field ◽

Schrödinger Operator ◽

Strong Electric Field ◽

Schrodinger Operator ◽

Eigenvalue Asymptotics ◽

Magnetic Schrödinger Operator

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Semiclassical approximation of the magnetic Schrödinger operator on a strip : dynamics and spectrum

Tunisian Journal of Mathematics ◽

10.2140/tunis.2020.2.197 ◽

2020 ◽

Vol 2 (1) ◽

pp. 197-215

Author(s):

Mouez Dimassi

Keyword(s):

Schrödinger Operator ◽

Semiclassical Approximation ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Optimal stability estimates for a magnetic Schrödinger operator with local data

Inverse Problems ◽

10.1088/1361-6420/aa7770 ◽

2017 ◽

Vol 33 (9) ◽

pp. 095001 ◽

Cited By ~ 1

Author(s):

Leyter Potenciano-Machado

Keyword(s):

Schrödinger Operator ◽

Stability Estimates ◽

Schrodinger Operator ◽

Local Data ◽

Magnetic Schrödinger Operator ◽

Optimal Stability

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On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/42/27/275204 ◽

2009 ◽

Vol 42 (27) ◽

pp. 275204 ◽

Cited By ~ 6

Author(s):

L I Danilov

Keyword(s):

Schrödinger Operator ◽

Absolute Continuity ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator ◽

Continuity Of The Spectrum

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Gauge equivalence and the inverse spectral problem for the magnetic Schrödinger operator on the torus

Russian Journal of Mathematical Physics ◽

10.1134/s1061920813040043 ◽

2013 ◽

Vol 20 (4) ◽

pp. 413-423 ◽

Cited By ~ 2

Author(s):

G. Eskin ◽

J. Ralston

Keyword(s):

Spectral Problem ◽

Schrödinger Operator ◽

Inverse Spectral Problem ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator ◽

Gauge Equivalence ◽

Inverse Spectral

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Unique continuation for the magnetic Schrödinger operator with singular potentials

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2015-12728-1 ◽

2015 ◽

Vol 143 (8) ◽

pp. 3487-3503 ◽

Cited By ~ 2

Author(s):

Naiara Arrizabalaga ◽

Miren Zubeldia

Keyword(s):

Schrödinger Operator ◽

Unique Continuation ◽

Schrodinger Operator ◽

Singular Potentials ◽

Magnetic Schrödinger Operator

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