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Operadores de Schrödinger ergódicos em variedades compactas
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE FÍSICAPrograma de Pós-Graduação em FísicaUFMG, 2021-11-26)
The aim of this work is to study the measurability and spectra of random operators on compact manifolds, in particular the integrated density of states associated with a family of random Schrödinger operators. The motivation ...
Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus 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 ...
Propriedades espectrais uniformes para operadores de Schrödinger com potenciais Sturmianos
(Universidade Estadual Paulista (Unesp), 2014-03-06)
The present work intends to study uniform spectral properties of discrete one-dimensional Schrodinger operators with Sturmian potentials. Based on studies in the literature, it is shown that these operators have purely ...
Asymptotics Near +/- m of the Spectral Shift Function for Dirac Operators with Non-Constant Magnetic Fields
(TAYLOR & FRANCIS INC, 2011)
We consider a 3-dimensional Dirac operator H0 with non-constant magnetic field of constant direction, perturbed by a sign-definite matrix-valued potential V decaying fast enough at infinity. Then we determine asymptotics, ...
Localização dinâmica para perturbações de operadores de Schrödinger discretos com campo elétrico
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-02-02)
We study the spectrum and the dynamical localization of some discrete quantum systems
with uniform electric fields under suitable perturbations with exponential decay in
the matrix elements. We consider three particular ...
Propriedades espectrais uniformes para operadores de Schrödinger com potenciais Sturmianos
(Universidade Estadual Paulista (UNESP), 2014)
Propriedades espectrais uniformes para operadores de Schrödinger com potenciais Sturmianos
(Universidade Estadual Paulista (Unesp), 2014)
Singular Schrödinger operators as self-adjoint extensions of N-entire operators
(American Mathematical Society, 2015-05)
We investigate the connections between Weyl–Titchmarsh– Kodaira theory for one-dimensional Schrödinger operators and the theory of n-entire operators. As our main result we find a necessary and sufficient condition for a ...