On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential

M. Boiti, F. Pempinelli, A. K. Pogrebkov

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In the framework of the resolvent approach, a so-called twisting operator is introduced that is able, at the same time, to superimpose à la Darboux N solitons to a generic smooth decaying potential of the nonstationary Schrödinger operator and to generate the corresponding Jost solutions. This twisting operator is also used to construct an explicit bilinear representation in terms of the Jost solutions of the related extended resolvent. The main properties of the Jost and auxiliary Jost solutions and of the resolvent are discussed.

Original languageEnglish
Pages (from-to)1877-1898
Number of pages22
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number8
DOIs
Publication statusPublished - 24 Feb 2006

Fingerprint

Dive into the research topics of 'On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential'. Together they form a unique fingerprint.

Cite this