The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential-Reference-Cited by-同舟云学术

The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential

Published:1994-04 Issue:3 Volume:161 Page:569-595
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun.Math. Phys.

Author:

Novikov Roman G.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF02101933.pdf

Reference22 articles.

1. Beals, R., Coifman, R.R.: Multidimensional inverse scattering and nonlinear partial differential equations. Proc. Symp. Pure Math.43, 45–70 (1985)

2. Chadan, K., Sabatier, P.C.: Inverse problem in quantum scattering theory. 2nd ed. Berlin, Heidelberg, New York: Springer 1989

3. Ehrenpreis, L.: Fourier analysis in several complex variables. New York: Wiley 1970

4. Faddeev, L.D.: Growing solutions of the Schrödinger equation. Dokl. Akad. Nauk SSSR165, 514–517 (1965), translation in Sov. Phys. Dokl.10, 1033–1035 (1966)

5. Faddeev, L.D.: Factorization of theS matrix for the multidimensional Schrödinger operator. Dokl. Akad. Nauk SSSR167, 69–72 (1966), translation in Sov. Phys. Dokl.11, 209–211 (1966)

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