Use this URL to cite or link to this record in EThOS: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.513697 |
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Title: | Renormalization of wave function fluctuations for a generalized Harper equation | ||||||
Author: | Hulton, Sarah |
ISNI:
0000 0001 3584 2142
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Awarding Body: | University of Stirling | ||||||
Current Institution: | University of Stirling | ||||||
Date of Award: | 2006 | ||||||
Availability of Full Text: |
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Abstract: | |||||||
A 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.
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Supervisor: | Mestel, Ben | Sponsor: | Not available | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.513697 | DOI: | Not available | ||||
Keywords: | renormalization ; fluctuations ; Renormalization (Physics) ; Eigenvalues ; Chaotic behavior in systems | ||||||
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