22 citations · 39 across the 4 of their papers we have counts for
4 papers
Dynamical Lower Bounds for 1D Dirac Operators
Roberto A. Prado, Cesar R. de Oliveira
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 m…
Quantum Hamiltonians with Quasi-Ballistic Dynamics and Point Spectrum
Cesar R. de Oliveira, Roberto A. Prado
Consider the family of Schrödinger operators (and also its Dirac version) on or \[ H^W_{ω,S}=Δ+ λF(S^nω) + W, \quad ω\inΩ, \] where is…
Spectral and Localization Properties for the One-Dimensional Bernoulli Discrete Dirac Operator
Cesar R. de Oliveira, Roberto A. Prado
A 1D Dirac tight-binding model is considered and it is shown that its nonrelativistic limit is the 1D discrete Schr?odinger model. For random Bernoulli potentials taking two values…
Dynamical Delocalization for the 1D Bernoulli Discrete Dirac Operator
Cesar R. de Oliveira, Roberto A. Prado
An 1D tight-binding version of the Dirac equation is considered; after checking that it recovers the usual discrete Schr?odinger equation in the nonrelativistic limit, it is found…