Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies

Wencai Liu; Yunfeng Shi

doi:10.4171/jst/275

Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies

Journal of Spectral Theory ◽

10.4171/jst/275 ◽

2019 ◽

Vol 9 (4) ◽

pp. 1223-1248

Author(s):

Wencai Liu ◽

Yunfeng Shi

Keyword(s):

Schrödinger Operators ◽

Upper Bounds ◽

Schrodinger Operators ◽

Spectral Gaps

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Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials

Journal of Mathematical Physics ◽

10.1063/5.0015671 ◽

2020 ◽

Vol 61 (9) ◽

pp. 091507

Author(s):

Mark S. Ashbaugh ◽

Derek Kielty

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps ◽

Single Well

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Sharp Inequalities for Heat Kernels of Schrödinger Operators and Applications to Spectral Gaps

Journal of Functional Analysis ◽

10.1006/jfan.2000.3611 ◽

2000 ◽

Vol 176 (2) ◽

pp. 368-399 ◽

Cited By ~ 12

Author(s):

Rodrigo Bañuelos ◽

Pedro J. Méndez-Hernández

Keyword(s):

Schrödinger Operators ◽

Heat Kernels ◽

Schrodinger Operators ◽

Spectral Gaps

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SPECTRAL GAPS FOR PERIODIC SCHRÖDINGER OPERATORS WITH HYPERSURFACE MAGNETIC WELLS

Mathematical Results in Quantum Mechanics ◽

10.1142/9789812832382_0010 ◽

2008 ◽

Cited By ~ 1

Author(s):

BERNARD HELFFER ◽

YURI A. KORDYUKOV

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps

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Spectral Gaps of Schrödinger Operators on Hyperbolic Space

Mathematische Nachrichten ◽

10.1002/1522-2616(200009)217:1<105::aid-mana105>3.0.co;2-e ◽

2000 ◽

Vol 217 (1) ◽

pp. 105-124 ◽

Cited By ~ 1

Author(s):

Leon Karp ◽

Norbert Peyerimhoff

Keyword(s):

Hyperbolic Space ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps

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Upper bounds on the number of eigenvalues of stationary Schrödinger operators

Journal of Mathematical Physics ◽

10.1063/1.3461876 ◽

2010 ◽

Vol 51 (8) ◽

pp. 083523 ◽

Cited By ~ 2

Author(s):

Dai Shi

Keyword(s):

Schrödinger Operators ◽

Upper Bounds ◽

Schrodinger Operators

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Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: Analysis near the bottom

Journal of Functional Analysis ◽

10.1016/j.jfa.2009.04.007 ◽

2009 ◽

Vol 257 (10) ◽

pp. 3043-3081 ◽

Cited By ~ 9

Author(s):

B. Helffer ◽

Y.A. Kordyukov

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps

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Upper bounds on the eigenvalue ratio for one-dimensional Schrödinger operators

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.03.040 ◽

2017 ◽

Vol 452 (2) ◽

pp. 1031-1039 ◽

Cited By ~ 2

Author(s):

Min-Jei Huang

Keyword(s):

Schrödinger Operators ◽

Upper Bounds ◽

Schrodinger Operators ◽

One Dimensional ◽

Eigenvalue Ratio

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Spectral gaps of Schrödinger operators with periodic singular potentials

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2009.v6.n2.a1 ◽

2009 ◽

Vol 6 (2) ◽

pp. 95-165 ◽

Cited By ~ 16

Author(s):

Plamen Djakov ◽

Boris Mityagin

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials ◽

Spectral Gaps

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Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph

Opuscula Mathematica ◽

10.7494/opmath.2015.35.2.199 ◽

2015 ◽

Vol 35 (2) ◽

pp. 199 ◽

Cited By ~ 4

Author(s):

Hiroaki Niikuni

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps ◽

Metric Graph

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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 ◽

Cited By ~ 1

Author(s):

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Spectral Gaps ◽

Semiclassical Asymptotics

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