Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions

We consider phaseless inverse scattering for the Schrödinger equation with compactly supported potential in dimension d ≥ 2 . We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appro...

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Veröffentlicht in:	Journal of Geometric Analysis 2016-01, Vol.26 (1), p.346-359
1. Verfasser:	Novikov, R. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Physics
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Zusammenfassung:	We consider phaseless inverse scattering for the Schrödinger equation with compactly supported potential in dimension d ≥ 2 . We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-014-9553-7