39 citations · 144 across the 15 of their papers we have counts for
14 papers · 1 filter
Quantum quasiballistic dynamics and thick point spectrum
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
We obtain dynamical lower bounds for some self-adjoint operators with pure point spectrum in terms of the spacing properties of their eigenvalues. In particular, it is shown that f…
Results on the Aharonov-Bohm effect without contact with the solenoid
Cesar R. de Oliveira, Renan G. Romano
We add a confining potential to the Aharonov-Bohm model resulting in no contact of the particle with the solenoid (border); this is characterized by a unique self-adjoint extension…
On the spectrum and weakly effective operator for Dirichlet Laplacian in thin deformed tubes
Cesar R. de Oliveira, Alessandra A. Verri
We study the Laplacian in deformed thin (bounded or unbounded) tubes in ?, i.e., tubular regions along a curve whose cross sections are multiplied by an appropriate de…
Quantum Energy Expectation in Periodic Time-Dependent hamiltonians via Green Functions
Cesar R. de Oliveira, Mariza S. Simsen
Let be the Floquet operator of a time periodic hamiltonian . For each positive and discrete observable (which we call a {\em probe energy}), we derive a formula for…
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…
Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions
Cesar R. de Oliveira, Alessandra A. Verri
We study the nonrelativistic quantum Coulomb hamiltonian (i.e., inverse of distance potential) in , n = 1, 2, 3. We characterize their self-adjoint extensions and, in the unid…