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Aharonov–Bohm effect revisited (Q5255192)

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scientific article; zbMATH DE number 6445352

Language	Label	Description	Also known as
English	Aharonov–Bohm effect revisited	scientific article; zbMATH DE number 6445352

Statements

scholarly article

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Aharonov–Bohm effect revisited (English)

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Reviews in Mathematical Physics

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publication date

12 June 2015

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full work available at URL

https://arxiv.org/abs/1504.04784

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zbMATH Keywords

Aharonov-Bohm effect

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Schrödinger equation

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gauge equivalence

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MaRDI profile type

MaRDI publication profile

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Significance of Electromagnetic Potentials in the Quantum Theory

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High-velocity estimates for the scattering operator and Aharonov-Bohm effect in three dimensions

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The Aharonov–Bohm effect and Tonomura <i>et al.</i> experiments: Rigorous results

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Aharonov-Bohm effect and high-velocity estimates of solutions to the Schrödinger equation

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Boundary control in reconstruction of manifolds and metrics (the BC method)

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The spectrum of positive elliptic operators and periodic bicharacteristics

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The geometrical approach to multidimensional inverse scattering

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Global uniqueness in the inverse scattering problem for the Schrödinger operator with external Yang-Mills potentials

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Inverse boundary value problems and the Aharonov Bohm effect

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Inverse problems for the Schr dinger operators with electromagnetic potentials in domains with obstacles

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Inverse boundary value problems in domains with several obstacles

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A new approach to hyperbolic inverse problems

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A new approach to hyperbolic inverse problems II: global step

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Inverse problems for the Schrödinger equations with time-dependent electromagnetic potentials and the Aharonov–Bohm effect

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Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach

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A simple proof of magnetic and electric Aharonov-Bohm effects

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Gauge equivalence and inverse scattering for long-range magnetic potentials

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Gauge Equivalence and Inverse Scattering for Aharonov–Bohm Effect

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The Aharonov-Bohm effect in spectral asymptotics of the magnetic Schrödinger operator

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INVERSE BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS.

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The Poisson summation formula for manifolds with boundary

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Effet d'Aharonov-Bohm sur un état borné de l'équation de Schrödinger. (Aharonov-Bohm effect for a bounded state of the Schrödinger equation)

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Uniqueness theorems for second order elliptic differential equations

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Carleman type estimates in an anisotropic case and applications

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Off diagonal short time asymptotics for fundamental solution of diffusion equation

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An inverse scattering problem with the Aharonov–Bohm effect

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ON DETERMINATION OF A GAUGE FIELD ON ℝ<sup><i>d</i></sup> FROM ITS NON-ABELIAN RADON TRANSFORM ALONG ORIENTED STRAIGHT LINES

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Inverse scattering for the Laplace–Beltrami operator with complex electromagnetic potentials and embedded obstacles

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The Aharonov-Bohm effect and scattering theory

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The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential

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On the mathematical theory of the Aharonov$ndash$Bohm effect

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Non-Abelian Aharonov–Bohm effects, Feynman paths, and topology

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The Aharonov$ndash$Bohm effect and time-dependent inverse scattering theory

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The electric Aharonov-Bohm effect

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Identifiers

zbMATH Open document ID

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10.1142/S0129055X15300010

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5255192

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