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Analytic criteria in the qualitative spectral analysis of the Schrödinger operator
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2007 (English)In: Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: Ergodic Schrödinger Operators, Singular Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory / [ed] Fritz Gesztesy, Percy Deift, Providence, R.I, USA: American Mathematical Society (AMS), 2007, 257-288 p.Chapter in book (Other academic)
Abstract [en]

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to a particular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random and Ergodic Schrödinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. Exhaustive lists of references enhance the presentation offered in these surveys. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensive introduction into an area covered in this volume.Show more Show less

Place, publisher, year, edition, pages
Providence, R.I, USA: American Mathematical Society (AMS), 2007. 257-288 p.
Series
Proceedings of Symposia in Pure Mathematics, ISSN 0082-0717 (print) 2324-707X (online) ; 76:2
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-40358DOI: 10.1090/pspum/076.2Local ID: 53133ISBN: 0821842498 (print)ISBN: 9780821842492 (print)OAI: oai:DiVA.org:liu-40358DiVA: diva2:261207
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2016-12-06Bibliographically approved

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Maz´ya, Vladimir G.

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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