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Asymptotics of spectral polynomials
Stockholm University, Faculty of Science, Department of Mathematics.
Nuclear Physics Institute, Academy of Sciences, Czech Republic.
2007 (English)In: Acta Polytechnica, Vol. 47, no 2-3, 32-35 p.Article in journal (Refereed) Published
Abstract [en]

We have been studying the asymptotic energy distribution of the algebraic part of the spectrum of the one-dimensional sextic anharmonic oscillator. We review some (both old and recent) results on the multiparameter spectral problem and show that our problem ranks among the degenerate cases of Heine-Stieltjes spectral problem, and we derive the density of the corresponding probability measure.

Place, publisher, year, edition, pages
2007. Vol. 47, no 2-3, 32-35 p.
Keyword [en]
Heun equation, spectral polynomial
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-49752OAI: oai:DiVA.org:su-49752DiVA: diva2:379353
Available from: 2010-12-31 Created: 2010-12-17 Last updated: 2011-06-20Bibliographically approved

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