"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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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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On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type

Annals of Physics ◽

10.1016/j.aop.2020.168385 ◽

2020 ◽

pp. 168385

Author(s):

Wellisson B. De Lima ◽

Oswaldo M. Del Cima ◽

Daniel H.T. Franco ◽

Bruno C. Neves

Keyword(s):

Schrödinger Operator ◽

Attractive Potential ◽

Two Dimensional ◽

Schrodinger 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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Absolute continuity of the spectrum of the two-dimensional magnetic periodic Schrödinger operator with positive electric potential

Proceedings of the St. Petersburg Mathematical Society, Volume IX - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/209/09 ◽

2003 ◽

pp. 191-221

Author(s):

R. G. Shterenberg

Keyword(s):

Schrödinger Operator ◽

Electric Potential ◽

Absolute Continuity ◽

Two Dimensional ◽

Schrodinger Operator ◽

Continuity Of The Spectrum ◽

Periodic Schrödinger Operator

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A sufficient nonsingularity condition for a discrete finite-gap one-energy two-dimensional Schrödinger operator on the quad-graph

Functional Analysis and Its Applications ◽

10.1007/s10688-015-0106-z ◽

2015 ◽

Vol 49 (3) ◽

pp. 210-213

Author(s):

B. O. Vasilevskii

Keyword(s):

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator

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The Green’s function of a five-point discretization of a two-dimensional finite-gap Schrödinger operator: The case of four singular points on the spectral curve

Siberian Mathematical Journal ◽

10.1134/s0037446613060049 ◽

2013 ◽

Vol 54 (6) ◽

pp. 994-1004 ◽

Author(s):

B. O. Vasilevskiĭ

Keyword(s):

Green’S Function ◽

Green's Function ◽

Schrödinger Operator ◽

Spectral Curve ◽

Singular Points ◽

Two Dimensional ◽

Schrodinger Operator

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Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity

Russian Mathematical Surveys ◽

10.1070/rm2000v055n06abeh000333 ◽

2000 ◽

Vol 55 (6) ◽

pp. 1015-1083 ◽

Author(s):

P G Grinevich

Keyword(s):

Schrödinger Operator ◽

Two Dimensional ◽

Schrodinger Operator ◽

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On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential

Izvestiya Instituta Matematiki i Informatiki Udmurt Gos Univ ◽

10.20537/2226-3594-2018-51-01 ◽

2018 ◽

Vol 51 ◽

pp. 3-41

Author(s):

L.I. Danilov ◽

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Electric Potential ◽

Homogeneous Magnetic Field ◽

Two Dimensional ◽

Schrodinger Operator

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