Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: The case of discrete wells

Contemporary Mathematics - Spectral Theory and Geometric Analysis ◽

10.1090/conm/535/10535 ◽

2011 ◽

pp. 55-78 ◽

Author(s):

Bernard Helffer ◽

Yuri Kordyukov

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate Wells

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.626101 ◽

2012 ◽

Vol 37 (6) ◽

pp. 1057-1095 ◽

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Accurate Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator

Annales Henri Poincaré ◽

10.1007/s00023-014-0356-y ◽

2014 ◽

Vol 16 (7) ◽

pp. 1651-1688 ◽

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Two Dimensional ◽

Schrodinger Operator ◽

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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Semiclassical Spectral Asymptotics for a Magnetic Schrödinger Operator with Non-vanishing Magnetic Field

Trends in Mathematics - Geometric Methods in Physics ◽

10.1007/978-3-319-06248-8_23 ◽

2014 ◽

pp. 259-278 ◽

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Inverse backscattering Born approximation for a two-dimensional magnetic Schrödinger operator

Inverse Problems ◽

10.1088/0266-5611/29/7/075015 ◽

2013 ◽

Vol 29 (7) ◽

pp. 075015 ◽

Author(s):

Valery Serov

Keyword(s):

Schrödinger Operator ◽

Born Approximation ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Precise spectral asymptotics for perturbed magnetic Schrödinger operator

Journal de Mathématiques Pures et Appliquées ◽

10.1016/s0021-7824(97)89950-3 ◽

1997 ◽

Vol 76 (3) ◽

pp. 211-236 ◽

Author(s):

S.I. Boyarchenko ◽

S.Z. Levendorskiĭ

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator

Differential Operators and Spectral Theory - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/189/16 ◽

1999 ◽

pp. 205-217

Author(s):

G. Rozenblum ◽

M. Solomyak

Keyword(s):

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator ◽

Negative Eigenvalues

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Magnetic Schrödinger Operator: Geometry, Classical and Quantum Dynamics and Spectral Asymptotics

Moscow Mathematical Journal ◽

10.17323/1609-4514-2007-7-3-461-479 ◽

2007 ◽

Vol 7 (3) ◽

pp. 461-479 ◽

Author(s):

V. Ivrii

Keyword(s):

Schrödinger Operator ◽

Quantum Dynamics ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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The Aharonov–Bohm effect in spectral asymptotics of the magnetic Schrödinger operator

Analysis & PDE ◽

10.2140/apde.2014.7.245 ◽

2014 ◽

Vol 7 (1) ◽

pp. 245-266 ◽

Author(s):

Gregory Eskin ◽

James Ralston

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator ◽

Bohm Effect ◽

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"Non-standard" spectral asymptotics for a two-dimensional Schrödinger operator

CRM Proceedings and Lecture Notes - Partial Differential Equations and Their Applications ◽

10.1090/crmp/012/02 ◽

1997 ◽

pp. 9-16

Author(s):

Mikhail. Birman ◽

Arij Laptev

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Two Dimensional ◽

Schrodinger Operator

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