32 citations · 32 across the 5 of their papers we have counts for
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Mathematical justification of the Aharonov-Bohm hamiltonian
Cesar R. de Oliveira, Marciano Pereira
It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is…
Almost Periodic Orbits and Stability for Quantum Time-Dependent Hamiltonians
Cesar R. de Oliveira, Mariza S. Simsen
We study almost periodic orbits of quantum systems and prove that for periodic time-dependent Hamiltonians an orbit is almost periodic if, and only if, it is precompact. In the cas…
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…
A Floquet Operator with Pure Point Spectrum and Energy Instability
Cesar R. de Oliveira, Mariza S. Simsen
An example of Floquet operator with purely point spectrum and energy instability is presented. In the unperturbed energy eigenbasis its eigenfunctions are exponentially localized.
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…