Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-07-04423-6 ◽

2008 ◽

Vol 360 (03) ◽

pp. 1681-1695 ◽

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Semiclassical Asymptotics

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Semiclassical asymptotics for the spectral function of long-range Schrödinger operators

Journal of Functional Analysis ◽

10.1016/0022-1236(89)90121-3 ◽

1989 ◽

Vol 84 (1) ◽

pp. 226-254 ◽

Author(s):

C. Gerard ◽

A. Martinez

Keyword(s):

Spectral Function ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Semiclassical Asymptotics

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Semiclassical asymptotics for a class of singular Schrödinger operators

Partial Differential Equations, Spectral Theory, and Mathematical Physics ◽

10.4171/ecr/18-1/9 ◽

2021 ◽

pp. 155-176

Author(s):

Rupert Frank ◽

Simon Larson

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Semiclassical Asymptotics

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Semiclassical Asymptotics of Eigenvalues for Schrödinger Operators with Magnetic Fields

Journal of Functional Analysis ◽

10.1006/jfan.1995.1047 ◽

1995 ◽

Vol 129 (1) ◽

pp. 168-190 ◽

Author(s):

H. Matsumoto

Keyword(s):

Magnetic Fields ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Semiclassical Asymptotics ◽

Asymptotics Of Eigenvalues

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Semiclassical Asymptotics and Spectral Gaps for Periodic Magnetic Schrödinger Operators on Covering Manifolds

Trends in Mathematics - C*-algebras and Elliptic Theory ◽

10.1007/978-3-7643-7687-1_6 ◽

2006 ◽

pp. 129-150 ◽

Author(s):

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps ◽

Semiclassical Asymptotics

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Exponentially accurate semiclassical asymptotics of low-lying eigenvalues for 2×2 matrix Schrödinger operators

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.03.035 ◽

2005 ◽

Vol 312 (1) ◽

pp. 300-329 ◽

Author(s):

George A. Hagedorn ◽

Julio H. Toloza

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Semiclassical Asymptotics

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Semiclassical asymptotics of eigenvalue distributions for schrödinger operators with magnetic fields

Communications in Partial Differential Equations ◽

10.1080/03605309408821033 ◽

1994 ◽

Vol 19 (5-6) ◽

pp. 719-759 ◽

Author(s):

Hiroyuki Matsumoto

Keyword(s):

Magnetic Fields ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Semiclassical Asymptotics

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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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Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2021.103031 ◽

2021 ◽

pp. 103031

Author(s):

Trong Ngoc Nguyen ◽

Truong Xuan Le ◽

Tan Duc Do

Keyword(s):

Hardy Spaces ◽

Schrödinger Operators ◽

Higher Order ◽

Schrodinger Operators ◽

Weighted Hardy Spaces

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Existence of the Gauge for Fractional Laplacian Schrödinger Operators

Journal of Geometric Analysis ◽

10.1007/s12220-020-00576-y ◽

2021 ◽

Author(s):

Michael W. Frazier ◽

Igor E. Verbitsky

Keyword(s):

Fractional Laplacian ◽

Schrödinger Operators ◽

Schrodinger Operators

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