This paper presents explicit solutions of the Marchenko equation relevant to the solution of the inverse scattering problem of determining the real potential Q(x) in the 1-D Schroedinger equation on the line frpm the reflection coefficient R(k), which is assumed to be rational. The reflection coefficient is written in the form iC(k-iA)^{-1}B. State space methods are applied to solve the Marchenko equation, both without and with bound states.

Exact solution of the Marchenko equation relevant to inverse scattering on the line

VAN DER MEE, CORNELIS VICTOR MARIA
2000

Abstract

This paper presents explicit solutions of the Marchenko equation relevant to the solution of the inverse scattering problem of determining the real potential Q(x) in the 1-D Schroedinger equation on the line frpm the reflection coefficient R(k), which is assumed to be rational. The reflection coefficient is written in the form iC(k-iA)^{-1}B. State space methods are applied to solve the Marchenko equation, both without and with bound states.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/7813
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact