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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R. A. Prado was supported by FAPESP (Brazil). C. R. de Oliveira was partially supported by CNPq (Brazil).
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Prado, R.A., de Oliveira, C.R. Dynamical lower bounds for 1D Dirac operators. Math. Z. 259, 45–60 (2008). https://doi.org/10.1007/s00209-007-0210-8
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DOI: https://doi.org/10.1007/s00209-007-0210-8