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Asymptotics and Monodromy of the Algebraic Spectrum of Quasi-Exactly Solvable Sextic Oscillator
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-8438-3971
2017 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950XArticle in journal (Refereed) Epub ahead of print
Abstract [en]

In this article we study numerically and theoretically the asymptotics of the algebraic part of the spec- trum for the quasi-exactly solvable sextic potential m,b(x) = x6 + 2bx4 + (b2 − (4m + 3))x2, its level crossing points, and its monodromy in the complex plane of parameter b. Here m is a xed positive integer. We also discuss the connection between the special sequence of quasi-exactly solvable sextics with increasing m and the classical quartic potential. 

Place, publisher, year, edition, pages
2017.
Keywords [en]
monodromy, spectral surface, spectrum of an harmonic oscillator
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-151776DOI: 10.1080/10586458.2017.1325792OAI: oai:DiVA.org:su-151776DiVA, id: diva2:1175530
Available from: 2018-01-18 Created: 2018-01-18 Last updated: 2018-08-30Bibliographically approved

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