Roberto A. Prado, Cesar R. de Oliveira
Published 2007-08-07Version 1
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.
Comments: 18 pages; to appear in Math. Z
Power-Law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension
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Transfer matrices, non-Hermitian Hamiltonians and Resolvents: some spectral identities
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