Three-dimensional scattering and the Heisenberg inequality

DOI10.1016/0377-0427(92)90161-PzbMath0767.65089MaRDI QIDQ1195374

F. Alberto Gruenbaum

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformHamiltonianpotential scatteringscattering amplitudelocalizationHeisenberg uncertainty inequalitynonlinear scatteringBorn approximationthree-dimensional scatteringnonlinear scattering transformnonrelativistic scattering

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (S)-matrix theory, etc. in quantum theory (81U20) Applications to the sciences (65Z05)

Cites Work

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• Properties of the scattering map. II
• The inverse backscattering problem in three dimensions
• Finitely many δ interactions with supports on concentric spheres
• The Inverse Problem in the Quantum Theory of Scattering
• Practical Quantum Mechanics II
• Multidimensional inverse scattering: the reconstruction problem

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