Dynamical Lower Bounds for 1D Dirac Operators

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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.
18 pages; to appear in Math. Z

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Mathematical Physics, Functional Analysis, 81Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/135700

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0926
 http://arxiv.org/abs/0708.0926

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arXiv