Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension

Details Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension

2002-06-17

arxiv.org/abs/math-ph/0206025v1

Physics

Mathematical Physics

22 pages

Scientific paper

10.1007/s00220-003-0824-6

We present an approach to quantum dynamical lower bounds for discrete
one-dimensional Schr\"odinger operators which is based on power-law bounds on
transfer matrices. It suffices to have such bounds for a nonempty set of
energies. We apply this result to various models, including the Fibonacci
Hamiltonian.

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