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Title: Renormalization of wave function fluctuations for a generalized Harper equation
Author: Hulton, Sarah
ISNI:       0000 0001 3584 2142
Awarding Body: University of Stirling
Current Institution: University of Stirling
Date of Award: 2006
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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.
Supervisor: Mestel, Ben Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: renormalization ; fluctuations ; Renormalization (Physics) ; Eigenvalues ; Chaotic behavior in systems