Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
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DOI：
10.1007/s00220-003-0824-6
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发表时间：
2002-06
影响因子：
2.4
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中科院分区：
文献类型：
--
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本文提出了一种基于转移矩阵幂律界的一维离散薛定谔算子量子动力学下界的方法。对于一个非空的能量集，有这样的界限就足够了。我们将这一结果应用于各种模型，包括斐波那契哈密顿。
We present an approach to quantum dynamical lower bounds for discrete one-dimensional Schrödinger 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.