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Inverse spectral problems for Schrodinger operators with energy depending potentials
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2007 (English)In: Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov / [ed] Dawson, DA; Jaksic, V; Vainberg, B, 2007, Vol. 42, 341-351 p.Conference paper, Published paper (Refereed)
Abstract [en]

We study an inverse problem for a class of Schrodinger operators with energy depending potentials. In particular, we show that introduction of the discrete spectrum generically does not lead to singularities of the corresponding soliton solutions. In our last chapter we derive some new trace formulas which could be considered as generalization of a standard trace formulas for Schrodinger operators.

Place, publisher, year, edition, pages
2007. Vol. 42, 341-351 p.
Series
CRM Proceedings & Lecture Notes, ISSN 1065-8580 ; 42
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-39119ISI: 000248940900019ISBN: 978-0-8218-4089-4 (print)OAI: oai:DiVA.org:kth-39119DiVA: diva2:439919
Conference
Conference on Probability and Mathematical Physics held in honor of Stanislav Molchanovs 65th Birthday Location: Ctr Rech Math, Montreal, Canada, Date: JUN 27-JUL 01, 2005
Available from: 2011-09-09 Created: 2011-09-08 Last updated: 2011-09-09Bibliographically approved

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