Annales Henri Poincaré, ISSN 1424-0637, 9/2019, Volume 20, Issue 9, pp. 2877 - 2898

This paper studies the delocalized regime of an ultrametric random operator whose independent entries have variances decaying in a suitable hierarchical metric...

Primary 15A52 | Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Secondary 47B80 | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | UNIVERSALITY | PHYSICS, MULTIDISCIPLINARY | STATISTICS | SCALING PROPERTIES | PHYSICS, MATHEMATICAL | ANDERSON MODEL | RENORMALIZATION-GROUP ANALYSIS | RANDOM SCHRODINGER-OPERATORS | TREE | ABSOLUTELY CONTINUOUS-SPECTRUM | RANDOM BAND MATRICES | DENSITY-OF-STATES | PHYSICS, PARTICLES & FIELDS

Primary 15A52 | Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Secondary 47B80 | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | UNIVERSALITY | PHYSICS, MULTIDISCIPLINARY | STATISTICS | SCALING PROPERTIES | PHYSICS, MATHEMATICAL | ANDERSON MODEL | RENORMALIZATION-GROUP ANALYSIS | RANDOM SCHRODINGER-OPERATORS | TREE | ABSOLUTELY CONTINUOUS-SPECTRUM | RANDOM BAND MATRICES | DENSITY-OF-STATES | PHYSICS, PARTICLES & FIELDS

Journal Article

Concrete Operators, ISSN 2299-3282, 10/2017, Volume 4, Issue 1, pp. 121 - 129

Using the Kato-Rosenblum theorem, we describe the absolutely continuous spectrum of a class of weighted integral Hankel operators in L (ℝ ). These self-adjoint...

Absolutely continuous spectrum | Carleman operator | Weighted Hankel operators | 47B35

Absolutely continuous spectrum | Carleman operator | Weighted Hankel operators | 47B35

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 04/2018, Volume 274, Issue 8, pp. 2205 - 2244

A one-channel operator is a self-adjoint operator on for some countable set with a rank 1 transition structure along the sets of a quasi-spherical partition of...

Operators on graphs | Absolutely continuous spectrum | Anderson model | Extended states

Operators on graphs | Absolutely continuous spectrum | Anderson model | Extended states

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 6/2016, Volume 106, Issue 6, pp. 787 - 797

We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the crystalline...

Geometry | 35J10 | quantum transport | 82C10 | conductances | Theoretical, Mathematical and Computational Physics | Group Theory and Generalizations | 81Q10 | absolutely continuous spectrum | Statistical Physics, Dynamical Systems and Complexity | Schrödinger operators | Physics | Schrodinger operators | LANDAUER | FORMULA | PHYSICS, MATHEMATICAL | Condensed Matter | Mathematics | Statistical Mechanics | Spectral Theory | Mathematical Physics

Geometry | 35J10 | quantum transport | 82C10 | conductances | Theoretical, Mathematical and Computational Physics | Group Theory and Generalizations | 81Q10 | absolutely continuous spectrum | Statistical Physics, Dynamical Systems and Complexity | Schrödinger operators | Physics | Schrodinger operators | LANDAUER | FORMULA | PHYSICS, MATHEMATICAL | Condensed Matter | Mathematics | Statistical Mechanics | Spectral Theory | Mathematical Physics

Journal Article

Applicable Analysis, ISSN 0003-6811, 02/2017, Volume 96, Issue 3, pp. 375 - 395

We consider a family of elliptic operators depending on a real parameter and prove that the a.c. spectrum covers the half-line for almost every value of .

Absolutely continuous spectrum | cylinder | 47a10 | 47F05 | Schrödinger operator | MATHEMATICS, APPLIED | Schrodinger operator | MULTIDIMENSIONAL SCHRODINGER-OPERATORS | Applied mathematics | Schrodinger equation | Operators | Parameters | Images | Cylinders

Absolutely continuous spectrum | cylinder | 47a10 | 47F05 | Schrödinger operator | MATHEMATICS, APPLIED | Schrodinger operator | MULTIDIMENSIONAL SCHRODINGER-OPERATORS | Applied mathematics | Schrodinger equation | Operators | Parameters | Images | Cylinders

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 11/2017, Volume 89, Issue 3, pp. 439 - 453

On an infinite, radial metric tree graph we consider the corresponding Laplacian equipped with self-adjoint vertex conditions from a large class including...

Absolutely continuous spectrum | Quantum graph | Analysis | Schrödinger operator | Secondary 34L40 | Tree | Mathematics | Primary 34L05 | 35Q40 | MATHEMATICS | Schrodinger operator | Naturvetenskap | Natural Sciences | Matematisk analys | Matematik | Mathematical Analysis

Absolutely continuous spectrum | Quantum graph | Analysis | Schrödinger operator | Secondary 34L40 | Tree | Mathematics | Primary 34L05 | 35Q40 | MATHEMATICS | Schrodinger operator | Naturvetenskap | Natural Sciences | Matematisk analys | Matematik | Mathematical Analysis

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 06/2015, Volume 288, Issue 8-9, pp. 1009 - 1027

We have studied the absolutely continuous spectrum of a selfadjoint subspace extension generated by a three‐term fourth order difference equation with bounded...

Eigenvalues | absolutely continuous spectrum | Primary: 39A20; Secondary: 47A55 | deficiency indices | Absolutely continuous spectrum | Deficiency indices | MATHEMATICS | SINGULAR HAMILTONIAN-SYSTEMS | OPERATORS | WEYL-TITCHMARSH THEORY | M(LAMBDA) THEORY

Eigenvalues | absolutely continuous spectrum | Primary: 39A20; Secondary: 47A55 | deficiency indices | Absolutely continuous spectrum | Deficiency indices | MATHEMATICS | SINGULAR HAMILTONIAN-SYSTEMS | OPERATORS | WEYL-TITCHMARSH THEORY | M(LAMBDA) THEORY

Journal Article

Integral equations and operator theory, ISSN 0378-620X, 2017, Volume 89, Issue 3, p. 439

Journal Article

Journal of Spectral Theory, ISSN 1664-039X, 2014, Volume 4, Issue 4, pp. 815 - 840

Recent results of Denisov [5] and Kaluzhny-Shamis [9] describe the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an l(2)...

Absolutely continuous spectrum | OPUC | Bounded variation | CMV matrix | bounded variation | MATHEMATICS | MATHEMATICS, APPLIED | TRANSFER-MATRICES | ORTHOGONAL POLYNOMIALS | absolutely continuous spectrum | JACOBI MATRICES | SCHRODINGER | CMV

Absolutely continuous spectrum | OPUC | Bounded variation | CMV matrix | bounded variation | MATHEMATICS | MATHEMATICS, APPLIED | TRANSFER-MATRICES | ORTHOGONAL POLYNOMIALS | absolutely continuous spectrum | JACOBI MATRICES | SCHRODINGER | CMV

Journal Article

Opuscula Mathematica, ISSN 1232-9274, 2018, Volume 38, Issue 5, pp. 699 - 718

In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an...

Jacobi matrices | Absolutely continuous spectrum | Equi-absolute continuity | Spectral density | Self-adjoint operators | spectral density | absolutely continuous spectrum | equi-absolute continuity | self-adjoint operators

Jacobi matrices | Absolutely continuous spectrum | Equi-absolute continuity | Spectral density | Self-adjoint operators | spectral density | absolutely continuous spectrum | equi-absolute continuity | self-adjoint operators

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 11/2008, Volume 283, Issue 3, pp. 647 - 662

We consider families of discrete Schrödinger operators on the line with potentials generated by a homeomorphism on a compact metric space and a continuous...

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | UNIQUE ERGODICITY | LOCALIZATION | MAPS | MATRICES | SINGULAR CONTINUOUS-SPECTRUM | ABSOLUTELY CONTINUOUS-SPECTRUM | POTENTIALS | INTERVAL EXCHANGE TRANSFORMATIONS | PHYSICS, MATHEMATICAL | Generic drugs

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | UNIQUE ERGODICITY | LOCALIZATION | MAPS | MATRICES | SINGULAR CONTINUOUS-SPECTRUM | ABSOLUTELY CONTINUOUS-SPECTRUM | POTENTIALS | INTERVAL EXCHANGE TRANSFORMATIONS | PHYSICS, MATHEMATICAL | Generic drugs

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 01/2012, Volume 285, Issue 1, pp. 5 - 26

The Bethe strip of width m is the cartesian product \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {B}\times \lbrace...

Random Schrödinger operators | MSC Primary: 82B44 | extended states | Anderson model | absolutely continuous spectrum | 60H25 | Secondary: 47B80 | Absolutely continuous spectrum | Extended states | SINGULAR POTENTIALS | LOCALIZATION | LARGE DISORDER | TIGHT-BINDING MODEL | WEAK DISORDER | MATHEMATICS | Random Schrodinger operators | DIFFUSION | ABSENCE | DENSITY-OF-STATES | LATTICE

Random Schrödinger operators | MSC Primary: 82B44 | extended states | Anderson model | absolutely continuous spectrum | 60H25 | Secondary: 47B80 | Absolutely continuous spectrum | Extended states | SINGULAR POTENTIALS | LOCALIZATION | LARGE DISORDER | TIGHT-BINDING MODEL | WEAK DISORDER | MATHEMATICS | Random Schrodinger operators | DIFFUSION | ABSENCE | DENSITY-OF-STATES | LATTICE

Journal Article

Mathematical Physics, Analysis and Geometry, ISSN 1385-0172, 12/2014, Volume 17, Issue 3, pp. 409 - 440

We consider cross products of finite graphs with a class of trees that have arbitrarily but finitely long line segments, such as the Fibonacci tree. Such cross...

Geometry | Random Schrödinger operators | Absolutely continuous spectrum | Fibonacci tree | Theoretical, Mathematical and Computational Physics | Analysis | Extended states | Group Theory and Generalizations | Anderson model | Applications of Mathematics | Physics | SINGULAR POTENTIALS | LOCALIZATION | MATHEMATICS, APPLIED | ENERGY | LARGE DISORDER | TIGHT-BINDING MODEL | PROOF | WEAK DISORDER | PHYSICS, MATHEMATICAL | FINITE CONE TYPE | Random Schrodinger operators | BETHE LATTICE

Geometry | Random Schrödinger operators | Absolutely continuous spectrum | Fibonacci tree | Theoretical, Mathematical and Computational Physics | Analysis | Extended states | Group Theory and Generalizations | Anderson model | Applications of Mathematics | Physics | SINGULAR POTENTIALS | LOCALIZATION | MATHEMATICS, APPLIED | ENERGY | LARGE DISORDER | TIGHT-BINDING MODEL | PROOF | WEAK DISORDER | PHYSICS, MATHEMATICAL | FINITE CONE TYPE | Random Schrodinger operators | BETHE LATTICE

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2009, Volume 361, Issue 2, pp. 793 - 818

We prove that if the canonical system J(y_{n+1}-y_n)= zH_ny_n has absolutely continuous spectrum of a certain multiplicity, then there is a corresponding...

Mathematical theorems | Difference equations | Spectral theory | Eigenvalues | Boundary conditions | Eigenfunctions | Mathematical vectors | Mathematics | Lagrangian function | Continuous spectra | Absolutely continuous spectrum | Canonical systems | MATHEMATICS | absolutely continuous spectrum | SCHRODINGER-OPERATORS

Mathematical theorems | Difference equations | Spectral theory | Eigenvalues | Boundary conditions | Eigenfunctions | Mathematical vectors | Mathematics | Lagrangian function | Continuous spectra | Absolutely continuous spectrum | Canonical systems | MATHEMATICS | absolutely continuous spectrum | SCHRODINGER-OPERATORS

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 2008, Volume 255, Issue 3, pp. 755 - 767

We consider an elliptic random operator, which is the sum of the differential part and the potential. The potential considered in the paper is the same as the...

Absolutely continuous spectrum | Random operators | Trace formulas | MATHEMATICS | random operators | trace formulas | absolutely continuous spectrum | SCHRODINGER-OPERATORS

Absolutely continuous spectrum | Random operators | Trace formulas | MATHEMATICS | random operators | trace formulas | absolutely continuous spectrum | SCHRODINGER-OPERATORS

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 04/2015, Volume 28, Issue 2, pp. 579 - 616

Journal Article

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, ISSN 1385-0172, 11/2007, Volume 10, Issue 4, pp. 359 - 373

This paper deals with general structural properties of one-dimensional Schrodinger operators with some absolutely continuous spectrum. The basic result says...

JACOBI | MATHEMATICS, APPLIED | MATRICES | reflectionless potential | absolutely continuous spectrum | RAKHMANOVS THEOREM | PHYSICS, MATHEMATICAL | schrodinger operator

JACOBI | MATHEMATICS, APPLIED | MATRICES | reflectionless potential | absolutely continuous spectrum | RAKHMANOVS THEOREM | PHYSICS, MATHEMATICAL | schrodinger operator

Journal Article

Functional Analysis and Its Applications, ISSN 0016-2663, 1/2016, Volume 50, Issue 1, pp. 76 - 79

In the paper, we consider the one-dimensional nonstationary Schrödinger equation with a potential slowly depending on time. It is assumed that the...

Functional Analysis | Analysis | Schrödinger operator | discrete spectrum | Mathematics | absolutely continuous spectrum | adiabatic evolution | MATHEMATICS | MATHEMATICS, APPLIED | Schrodinger operator

Functional Analysis | Analysis | Schrödinger operator | discrete spectrum | Mathematics | absolutely continuous spectrum | adiabatic evolution | MATHEMATICS | MATHEMATICS, APPLIED | Schrodinger operator

Journal Article

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, ISSN 1078-0947, 01/2010, Volume 26, Issue 1, pp. 365 - 378

Group extensions of Gaussian G-actions with absolutely continuous spectrum in the orthocomplement of the functions depending on the first coordinate are...

MATHEMATICS | MATHEMATICS, APPLIED | Gaussian actions | cocycles | AUTOMORPHISMS | absolutely continuous spectrum | ENTROPY

MATHEMATICS | MATHEMATICS, APPLIED | Gaussian actions | cocycles | AUTOMORPHISMS | absolutely continuous spectrum | ENTROPY

Journal Article

Discrete and Continuous Dynamical Systems, ISSN 1078-0947, 01/2010, Volume 26, Issue 1, pp. 365 - 378

Journal Article

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