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

DOI10.1063/1.532017zbMath0885.34066OpenAlexW1978081994MaRDI QIDQ4345137

Silke Arians

Publication date: 30 March 1998

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

Full work available at URL: https://doi.org/10.1063/1.532017

zbMATH Keywords

electromagnetic fieldscattering operatorDollard wave operatortwo-body quantum mechanical system

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse scattering problems in quantum theory (81U40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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Cites Work

• Propagation properties of quantum scattering states
• Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
• High-energy behavior of the scattering amplitude for a Dirac operator
• Geometrical approach to inverse scattering for the Dirac equation
• The $ \bar\partial$-equation in the multidimensional inverse scattering problem
• The geometrical approach to multidimensional inverse scattering

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