Dynamical Lower Bounds for 1D Dirac Operators

Physics – Mathematical Physics

Scientific paper

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18 pages; to appear in Math. Z

Scientific paper

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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