On multidimensional inverse scattering for Stark Hamiltonians

DOI10.1063/1.2713077zbMath1137.81378OpenAlexW2036457490MaRDI QIDQ3442260

Tadayoshi Adachi, Katsuhiro Maehara

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2713077

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (max. 100)

On inverse scattering problem for the Schrödinger equation with repulsive potentials ⋮ Local resolvent estimates for \(N\)-body Stark Hamiltonians ⋮ TOPOLOGICAL EFFECTS IN QUANTUM MECHANICS AND HIGH VELOCITY ESTIMATES ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Propagation Property and Application to Inverse Scattering for Fractional Powers of Negative Laplacian ⋮ Inverse scattering in the Stark effect ⋮ High-velocity estimates and inverse scattering for quantum N-body systems with Stark effect

Cites Work

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• Propagation properties of quantum scattering states
• Modified wave operators and Stark Hamiltonians
• Unitary equivalence of Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Potential scattering in a homogeneous electrostatic field
• Phase space analysis of simple scattering systems: extensions of some work of Enss
• Asymptotic completeness for \(N\)-body Stark Hamiltonians
• Asymptotic completeness for long-range many-particle systems with Stark effect. II
• Multidimensional inverse scattering in an electric field
• Long-range scattering for three-body Stark Hamiltonians
• The geometrical approach to multidimensional inverse scattering

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