07-191 Roberto A. Prado, Cesar R. de Oliveira

DYNAMICAL LOWER BOUNDS FOR 1D DIRAC OPERATORS (328K, pdf) Aug 7, 07

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Abstract. Quantum dynamical lower bounds for continuous and discrete one-dimensional Dirac operators are established in terms of transfer matrices. Then such results are applied to various models, including the Bernoulli-Dirac one and, in contrast to the discrete case, critical energies are also found for the continuous Dirac case with positive mass.

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