High-velocity estimates and inverse scattering for quantum $N$-body systems with Stark effect (Q2872338)

scientific article; zbMATH DE number 6245417

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English	High-velocity estimates and inverse scattering for quantum $N$-body systems with Stark effect	scientific article; zbMATH DE number 6245417

Statements

instance of

scholarly article

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author

Gerardo Daniel Valencia

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Ricardo Weder

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published in

Journal of Mathematical Physics

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publication date

14 January 2014

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full work available at URL

https://arxiv.org/abs/1103.6182

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zbMATH Keywords

Dollard scattering operator

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MaRDI profile type

Publication

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cites work

On multidimensional inverse scattering in an external electric field asymptotically zero in time

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On multidimensional inverse scattering for Stark Hamiltonians

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Asymptotic completeness for long-range many-particle systems with Stark effect. II

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Geometric approach to inverse scattering for the Schrödinger equation with magnetic and electric potentials

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Geometric approach to inverse scattering for hydrogen-like systems in a homogeneous magnetic field

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Spectral and scattering theory of Schrödinger operators related to the Stark effect

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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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Recovering the mass and the charge of a Reissner–Nordström black hole by an inversescattering experiment

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Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black holes

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Asymptotic completeness for quantum-mechanical potential scattering. II: singular and long-range potentials

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Propagation properties of quantum scattering states

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The geometrical approach to multidimensional inverse scattering

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Inverse two-cluster scattering

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Asymptotic completeness for $N$-body Stark Hamiltonians

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The existence of wave operators in scattering theory

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An inverse scattering problem for Dirac equations with time-dependent electromagnetic potentials

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Geometrical approach to inverse scattering for the Dirac equation

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A scattering theory for time-dependent long-range potentials

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An inverse scattering problem with the Aharonov-Bohm effect

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An inverse scattering problem for short-range systems in a time-periodic electric field

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The initial value problem, scattering and inverse scattering, for Schrödinger equations with a potential and a non-local nonlinearity

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Scattering theory for $N$-particle systems with Stark effect: Asymptotic completeness

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Potential scattering in a homogeneous electrostatic field

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Multidimensional inverse scattering in an electric field

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$L^p$-$L^{\acute p}$ estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential

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Inverse scattering on the line for the nonlinear Klein-Gordon equation with a potential

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Inverse scattering for the nonlinear Schrödinger equation II. Reconstruction of the potential and the nonlinearity in the multidimensional case

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

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Multidimensional inverse scattering for the nonlinear Klein-Gordon equation with a potential

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Advances in Differential Equations and Mathematical Physics

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The $L^{p}$-$L^{p'}$ estimate for the Schrödinger equation on the half-line

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Scattering for the forced non-linear Schrödinger equation with a potential on the half-line

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The forced non-linear Schrödinger equation with a potential on the half-line

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TOPOLOGICAL EFFECTS IN QUANTUM MECHANICS AND HIGH VELOCITY ESTIMATES

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The electric Aharonov-Bohm effect

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title

High-velocity estimates and inverse scattering for quantum $N$-body systems with Stark effect (English)

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Identifiers

zbMATH Open document ID

1278.81148

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DOI

10.1063/1.4757590

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2872338

High-velocity estimates and inverse scattering for quantum \(N\)-body systems with Stark effect (Q2872338)

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Identifiers

Sitelinks

Mathematics(1 entry)