Absolutely continuous spectra of relativistic Schrödinger operators with magnetic vector potentials

Tomio Umeda

doi:10.3792/pjaa.70.290

Absolutely continuous spectra of relativistic Schrödinger operators with magnetic vector potentials

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.70.290 ◽

1994 ◽

Vol 70 (9) ◽

pp. 290-291

Author(s):

Tomio Umeda

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Magnetic Vector ◽

Absolutely Continuous ◽

Vector Potentials ◽

Relativistic Schrödinger Operators

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On a Domain Characterization of Schrodinger Operators with Gradient Magnetic Vector Potentials and Singular Potentials

Proceedings of the American Mathematical Society ◽

10.2307/2046944 ◽

1989 ◽

Vol 105 (2) ◽

pp. 317

Author(s):

Jerome A. Goldstein ◽

Roman Svirsky

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials ◽

Magnetic Vector ◽

Vector Potentials

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Spectral representation for Schrödinger operators with magnetic vector potentials

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250521811 ◽

1982 ◽

Vol 22 (2) ◽

pp. 223-242 ◽

Cited By ~ 5

Author(s):

Akira Iwatsuka

Keyword(s):

Spectral Representation ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Magnetic Vector ◽

Vector Potentials

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On a domain characterization of Schrödinger operators with gradient magnetic vector potentials and singular potentials

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1989-0931731-8 ◽

1989 ◽

Vol 105 (2) ◽

pp. 317-317

Author(s):

Jerome A. Goldstein ◽

Roman Svirsky

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials ◽

Magnetic Vector ◽

Vector Potentials

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Path integrals for relativistic Schrodinger operators

Schrödinger Operators - Lecture Notes in Physics ◽

10.1007/3-540-51783-9_17 ◽

2008 ◽

pp. 65-92 ◽

Cited By ~ 4

Author(s):

Rene Carmona

Keyword(s):

Path Integrals ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Relativistic Schrödinger Operators

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Unicity of the Integrated Density of States for Relativistic Schrödinger Operators with Regular Magnetic Fields and Singular Electric Potentials

Integral Equations and Operator Theory ◽

10.1007/s00020-010-1777-8 ◽

2010 ◽

Vol 67 (2) ◽

pp. 215-246 ◽

Cited By ~ 4

Author(s):

Viorel Iftimie ◽

Marius Măntoiu ◽

Radu Purice

Keyword(s):

Magnetic Fields ◽

Density Of States ◽

Schrödinger Operators ◽

Integrated Density Of States ◽

Schrodinger Operators ◽

Electric Potentials ◽

Relativistic Schrödinger Operators

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An Inverse Boundary Value Problem for Schrodinger Operators with Vector Potentials

Transactions of the American Mathematical Society ◽

10.2307/2154438 ◽

1993 ◽

Vol 338 (2) ◽

pp. 953 ◽

Cited By ~ 14

Author(s):

Ziqi Sun

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Vector Potentials

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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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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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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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