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Perturbações unitárias multiplicativas
(Universidade Federal de São Carlos, 2023-05-24)
For the self-adjoint operator H, the perturbation H+A, with A also a self-adjoint operator, there is a long list of results regarding the spectrum of this perturbation. We study the spectrum of a multiplicative perturbation ...
Confirmação matemática do efeito Aharonov-Bohm no modelo sem interação com a fronteira do solenóide
(Universidade Federal de São Carlos, 2016-05-30)
We study the Aharonov-Bohm effect model by adding a scalar potential in the initial Hamiltonian. Using known techniques of quantum confinement, we show that under certain conditions of divergence on this potential, the ...
Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac
(Universidade Federal de São Carlos, 2020-03-06)
We study the spectral characterization and Dirac cones, always through periodic quantum graphs, in three situations. Firstly, we model bidimensional honeycomb materials, for instance, Graphene and Boron Nitride. We consider ...