The fractal dimension of the spectrum of the fibonacci hamiltonian
Communications in Mathematical Physics, ISSN: 0010-3616, Vol: 280, Issue: 2, Page: 499-516
2008
- 47Citations
- 24Captures
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Article Description
We study the spectrum of the Fibonacci Hamiltonian and prove upper and lower bounds for its fractal dimension in the large coupling regime. These bounds show that λ to dim} σ(Hλ)) λ converges to an explicit constant,(1+√2})≈ 0.88137. We also discuss consequences of these results for the rate of propagation of a wavepacket that evolves according to Schrödinger dynamics generated by the Fibonacci Hamiltonian. © 2008 Springer-Verlag.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=42449113695&origin=inward; http://dx.doi.org/10.1007/s00220-008-0451-3; http://link.springer.com/10.1007/s00220-008-0451-3; http://link.springer.com/content/pdf/10.1007/s00220-008-0451-3; http://link.springer.com/content/pdf/10.1007/s00220-008-0451-3.pdf; http://link.springer.com/article/10.1007/s00220-008-0451-3/fulltext.html; https://dx.doi.org/10.1007/s00220-008-0451-3; https://link.springer.com/article/10.1007/s00220-008-0451-3; http://www.springerlink.com/index/10.1007/s00220-008-0451-3; http://www.springerlink.com/index/pdf/10.1007/s00220-008-0451-3
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