Accession Number : ADA185603

Title :   The Inverse Back Scattering Problem for the Schroedinger Equation in Two Space Dimensions.

Descriptive Note : Interim rept.,

Corporate Author : NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Morawetz, Cathleen S

PDF Url : ADA185603

Report Date : 01 Apr 1987

Pagination or Media Count : 27

Abstract : This paper is concerned with determining a potential q(x) for the steady state Schroedinger equation in two space variables, x = (x1, x2): (1.1) (Delta + omega 2 - q) u = 0. It is assumed there are no bound states. The data come from the far field scattered by plane waves impinging in a range of directions but measured only in the opposite directions. More precisely let p(e, omega, x) be a solution of (1.1) which for e.x = - infinity behaves like e x p(-i omega e.x) plus a scattered wave behaving like e x p (i omega e.x). Here e is a unit vector. Clearly this requires some conditions of decay on q.

Descriptors :   *SCHRODINGER EQUATION, *INVERSE SCATTERING, DECAY, FAR FIELD, ORIENTATION(DIRECTION), PLANE WAVES, STEADY STATE, WAVES, BACKSCATTERING, VARIABLES

Subject Categories : Numerical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE