Level repulsion for Schrödinger operators with singular continuous spectrum

Jonathan Breuer; Daniel Weissman

doi:10.4171/jst/252

Level repulsion for Schrödinger operators with singular continuous spectrum

Journal of Spectral Theory ◽

10.4171/jst/252 ◽

2018 ◽

Vol 9 (2) ◽

pp. 429-451 ◽

Cited By ~ 1

Author(s):

Jonathan Breuer ◽

Daniel Weissman

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum

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Embedded singular continuous spectrum for one-dimensional Schrödinger operators

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-99-02495-2 ◽

1999 ◽

Vol 351 (6) ◽

pp. 2479-2497 ◽

Cited By ~ 6

Author(s):

Christian Remling

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum ◽

One Dimensional

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Absence of singular continuous spectrum for perturbed discrete Schrödinger operators

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.11.083 ◽

2019 ◽

Vol 472 (2) ◽

pp. 1420-1429 ◽

Cited By ~ 3

Author(s):

Wencai Liu

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum ◽

Discrete Schrödinger Operators

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Singular Continuous Spectrum and Generic Full Spectral/Packing Dimension for Unbounded Quasiperiodic Schrödinger Operators

Annales Henri Poincaré ◽

10.1007/s00023-019-00810-6 ◽

2019 ◽

Vol 20 (7) ◽

pp. 2481-2494

Author(s):

Fan Yang ◽

Shiwen Zhang

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Packing Dimension ◽

Schrodinger Operators ◽

Singular Continuous Spectrum

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Singular continuous spectrum of half-line Schrödinger operators with point interactions on a sparse set

Opuscula Mathematica ◽

10.7494/opmath.2011.31.4.615 ◽

2011 ◽

Vol 31 (4) ◽

pp. 615 ◽

Cited By ~ 3

Author(s):

Vladimir Lotoreichik

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Half Line ◽

Schrodinger Operators ◽

Singular Continuous Spectrum ◽

Point Interactions ◽

Sparse Set

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Measures of Fermi Surfaces and Absence of Singular Continuous Spectrum for Magnetic Schrödinger Operators

Mathematische Nachrichten ◽

10.1002/1522-2616(200201)233:1<111::aid-mana111>3.0.co;2-u ◽

2002 ◽

Vol 233-234 (1) ◽

pp. 111-127

Author(s):

Michael J. Gruber

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum ◽

Fermi Surfaces

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Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators

Communications in Mathematical Physics ◽

10.1007/bf02099743 ◽

1994 ◽

Vol 165 (1) ◽

pp. 201-205 ◽

Cited By ~ 51

Author(s):

S. Jitomirskaya ◽

B. Simon

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum ◽

Almost Periodic

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Singular continuous spectrum in a class of random Schrödinger operators

Applied Mathematics Letters ◽

10.1016/0893-9659(93)90006-9 ◽

1993 ◽

Vol 6 (2) ◽

pp. 23-26 ◽

Cited By ~ 1

Author(s):

Margherita Barbieri ◽

Marco Maioli ◽

Andrea Sacchetti

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum

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Imbedded singular continuous spectrum for Schrödinger operators

Journal of the American Mathematical Society ◽

10.1090/s0894-0347-05-00489-3 ◽

2005 ◽

Vol 18 (3) ◽

pp. 571-603 ◽

Cited By ~ 5

Author(s):

Alexander Kiselev

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum

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Singular continuous spectrum for palindromic Schrödinger operators

Communications in Mathematical Physics ◽

10.1007/bf02099468 ◽

1995 ◽

Vol 174 (1) ◽

pp. 149-159 ◽

Cited By ~ 74

Author(s):

A. Hof ◽

O. Knill ◽

B. Simon

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum

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Singular continuous spectrum for a class of nonprimitive substitution Schrödinger operators

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-01-06148-2 ◽

2001 ◽

Vol 130 (1) ◽

pp. 145-156 ◽

Cited By ~ 6

Author(s):

César R. de Oliveira ◽

Marcus V. Lima

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Continuous Spectrum

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