Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum

S Molchanov; B Vainberg

doi:10.1016/j.jfa.2003.07.015

Schrödinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum

Journal of Functional Analysis ◽

10.1016/j.jfa.2003.07.015 ◽

2004 ◽

Vol 215 (1) ◽

pp. 111-129 ◽

Cited By ~ 3

Author(s):

S Molchanov ◽

B Vainberg

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous ◽

Singular Spectrum

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Absolutely Continuous Spectrum for Random Schrödinger Operators on Tree-Strips of Finite Cone Type

Annales Henri Poincaré ◽

10.1007/s00023-012-0203-y ◽

2012 ◽

Vol 14 (4) ◽

pp. 737-773 ◽

Cited By ~ 4

Author(s):

Christian Sadel

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Cone Type

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Stability of the Absolutely Continuous Spectrum of Random Schrödinger Operators on Tree Graphs

Probability Theory and Related Fields ◽

10.1007/s00440-005-0486-8 ◽

2005 ◽

Vol 136 (3) ◽

pp. 363-394 ◽

Cited By ~ 48

Author(s):

Michael Aizenman ◽

Robert Sims ◽

Simone Warzel

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Tree Graphs

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On the Singular Spectrum for Adiabatic Quasi-Periodic Schrödinger Operators on the Real Line

Annales Henri Poincaré ◽

10.1007/s00023-004-0186-4 ◽

2004 ◽

Vol 5 (5) ◽

pp. 929-978 ◽

Cited By ~ 5

Author(s):

Alexander Fedotov ◽

Frédéric Klopp

Keyword(s):

Real Line ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

The Real ◽

Singular Spectrum

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The Absolutely Continuous Spectrum of One-dimensional Schrödinger Operators

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-008-9036-9 ◽

2007 ◽

Vol 10 (4) ◽

pp. 359-373 ◽

Cited By ~ 17

Author(s):

Christian Remling

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

One Dimensional

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Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-96-03599-x ◽

1996 ◽

Vol 124 (11) ◽

pp. 3361-3369 ◽

Cited By ~ 35

Author(s):

Barry Simon

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous ◽

One Dimensional

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Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators

Journal of Functional Analysis ◽

10.1016/j.jfa.2020.108508 ◽

2020 ◽

Vol 278 (12) ◽

pp. 108508

Author(s):

Xin Zhao

Keyword(s):

Spectral Measure ◽

Hölder Continuity ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Holder Continuity ◽

Absolutely Continuous

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Examples of absolutely continuous Schrödinger operators in magnetic fields

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195179628 ◽

1985 ◽

Vol 21 (2) ◽

pp. 385-401 ◽

Cited By ~ 27

Author(s):

Akira Iwatsuka

Keyword(s):

Magnetic Fields ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous

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A Geometric Approach to Absolutely Continuous Spectrum for Discrete Schrödinger Operators

Random Walks, Boundaries and Spectra ◽

10.1007/978-3-0346-0244-0_11 ◽

2011 ◽

pp. 201-226 ◽

Cited By ~ 2

Author(s):

Richard Froese ◽

David Hasler ◽

Wolfgang Spitzer

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Geometric Approach ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Discrete Schrödinger Operators

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Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials

Mathematische Nachrichten ◽

10.1002/mana.200810754 ◽

2009 ◽

Vol 282 (4) ◽

pp. 552-568 ◽

Cited By ~ 2

Author(s):

Ahyoung Kim ◽

Alexander Kiselev

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Discrete Schrödinger Operators

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On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-05-03961-9 ◽

2005 ◽

Vol 357 (11) ◽

pp. 4481-4516 ◽

Cited By ~ 7

Author(s):

Alexander Fedotov ◽

Frédéric Klopp

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Adiabatic Limit ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

One Dimensional

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