Dynamical Upper Bounds for the Fibonacci Hamiltonian

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dc.creatorDamanik, David
dc.creatorTcheremchantsev, Serguei
dc.date2005-01-31
dc.date.accessioned2026-07-07T03:03:32Z
dc.date.available2026-07-07T03:03:32Z
dc.descriptionWe consider transport exponents associated with the dynamics of a wavepacket in a discrete one-dimensional quantum system and develop a general method for proving upper bounds for these exponents in terms of the norms of transfer matrices at complex energies. Using this method, we prove such upper bounds for the Fibonacci Hamiltonian. Together with the known lower bounds, this shows that these exponents are strictly between zero and one for sufficiently large coupling and the large coupling behavior follows a law predicted by Abe and Hiramoto.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0502004
dc.identifierhttp://arxiv.org/abs/cond-mat/0502004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25786
dc.subjectDisordered Systems and Neural Networks
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleDynamical Upper Bounds for the Fibonacci Hamiltonian
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