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dc.contributor.advisorMestel, Ben-
dc.contributor.authorHulton, Sarah-
dc.description.abstractA renormalization analysis is presented for a generalized Harper equation (1 + α cos(2π(ω(i + 1/2) + φ)))ψi+1 + (1 + α cos(2π(ω(i − 1/2) + φ)))ψi−1 +2λ cos(2π(iω + φ))ψi = Eψi. (0.1) For values of the parameter ω having periodic continued-fraction expansion, we construct the periodic orbits of the renormalization strange sets in function space that govern the wave function fluctuations of the solutions of the generalized Harper equation in the strong-coupling limit λ→∞. For values of ω with non-periodic continued fraction expansions, we make some conjectures based on work of Mestel and Osbaldestin on the likely structure of the renormalization strange set.en
dc.publisherUniversity of Stirlingen
dc.subject.lcshRenormalization (Physics)en
dc.subject.lcshChaotic behavior in systemsen
dc.titleRenormalization of wave function fluctuations for a generalized Harper equationen
dc.typeThesis or Dissertationen
dc.type.qualificationnameDoctor of Philosophyen
dc.contributor.affiliationSchool of Natural Sciences-
dc.contributor.affiliationComputing Science and Mathematics-
Appears in Collections:Computing Science and Mathematics eTheses

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