Concepedia

Alexander V. Sobolev

AV

Statistics

Publications

25

Citations

706

H-Index

16

Active since

1986

Affiliations

University College London(Current)

University of Sussex

Friedrich-Alexander-Universität Erlangen-Nürnberg

University of Hagen

Alexander V. Sobolev is an author at University College London specializing in functional analysis, engineering, and spectral theory.

Top concepts

Functional AnalysisEngineeringSpectral TheoryPhysicsQuantum ScienceNatural SciencesDiscrete GeometryEntropyPhotonicsQuantum Matter

Publications per year

1986–2022

25

Publications

25

Scaling of Rényi Entanglement Entropies of the Free Fermi-Gas Ground State: A Rigorous Proof

Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer · Physical Review Letters · 2014 · 88 citations · Full text

Absolute continuity of the periodic magnetic Schrödinger operator

Alexander V. Sobolev · Inventiones mathematicae · 1999 · 51 citations

Quantum Dynamic, Physics, Natural Sciences +5

Bethe-Sommerfeld conjecture for periodic operators with strong perturbations

Leonid Parnovski, Alexander V. Sobolev · Inventiones mathematicae · 2010 · 47 citations · Full text

Riemann-hilbert Problem, Dirac Operator, Functional Analysis +2

On the Bethe-Sommerfeld conjecture for the polyharmonic operator

Leonid Parnovski, Alexander V. Sobolev · Duke Mathematical Journal · 2001 · 46 citations

Spectral Theory, Engineering, Riemann-hilbert Problem +7

ABSOLUTE CONTINUITY IN PERIODIC WAVEGUIDES

Alexander V. Sobolev, JONATHAN WALTHOE · Proceedings of the London Mathematical Society · 2002 · 44 citations

Spectral Theory, Photonics, Mild Smoothness Restrictions +13

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