Intertwining operators in inverse scattering

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Abstract

In these notes we are going to present a technique which is a multi-dimensional analogue of some methods which are nowadays standard inscattering theory on the real line for the Schrödinger operator. These methods are based on the construction of operators intertwining the Schrödinger operator with the free operator, obtained when
the potential term is removed.


The multi-dimensional technique using intertwining operators as a tool for the study of Schrödinger operators has its origin in a famous paper by L. D. Faddeev. Various extensions of this technique have been developed during the last years by the second author of this article.

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Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Titel på värdpublikationNew Analytic and Geometric Methods in Inverse Problems: Lectures Given at the Ems Summer School and Conference Held in Edinburgh, Scotland 2000
RedaktörerKenrick Bingham, Yaroslav V. Kurylev, Erkki Somersalo
FörlagSpringer
Sidor51-92
Antal sidor41
ISBN (tryckt)3540406824
StatusPublished - 2004
PublikationskategoriForskning
Peer review utfördJa
EvenemangEuropean Mathematical Society (EMS) Summer School and Conference on Recent Developments in the Wave Field and Diffuse Tomographic Inverse Problems - Edinburgh, Storbritannien
Varaktighet: 2000 jul 242000 aug 5

Konferens

KonferensEuropean Mathematical Society (EMS) Summer School and Conference on Recent Developments in the Wave Field and Diffuse Tomographic Inverse Problems
LandStorbritannien
OrtEdinburgh
Period2000/07/242000/08/05