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math-ph2005★ 1 cited
Upper Bounds in Quantum Dynamics
David Damanik, Serguei Tcheremchantsev
We develop a general method to bound the spreading of an entire wavepacket under Schrödinger dynamics from above. This method derives upper bounds on time-averaged moments of the p…
cond-mat.dis-nn2005
Dynamical Upper Bounds for the Fibonacci Hamiltonian
David Damanik, Serguei Tcheremchantsev
We 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…