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Argumentos de Gordon no estudo espectral de operadores de Schrödinger unidimensionais
(Universidade Estadual Paulista (Unesp), 2012-02-28)
Neste trabalho fizemos um levantamento das diferentes versões discretas e contínuas dos argumentos de Gordon, utilizados no estudo espectral de operadores de Schrödinger unidimensionais. Estudamos como aproximações periódicas ...
Argumentos de Gordon no estudo espectral de operadores de Schrödinger unidimensionais
(Universidade Estadual Paulista (Unesp), 2012-02-28)
Neste trabalho fizemos um levantamento das diferentes versões discretas e contínuas dos argumentos de Gordon, utilizados no estudo espectral de operadores de Schrödinger unidimensionais. Estudamos como aproximações periódicas ...
Limites dinâmicos para operadores de Schrödinger com potenciais Sturmianos
(Universidade Estadual Paulista (Unesp), 2016-02-10)
By following recent papers in the literature, the present work aims to study dynamical bounds for one dimensional discrete Schrödinger operators with Sturmian potentials by bounding the rates of propagation of the wavepacket. ...
The integrated density of states in strong magnetic fields
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-08-15)
We consider three-dimensional Schrodinger operators with constant magnetic fields and ergodic electric potentials. We study the strong magnetic field asymptotic behaviour of the integrated density of states, distinguishing ...
On eigenvalue accumulation for non-self-adjoint magnetic operators
(ELSEVIER SCIENCE BV, 2017)
In this work, we use regularized determinants to study the discrete spectrum generated by relatively compact non-self-adjoint perturbations of the magnetic Schrodinger operator (-i del - A)(2) -b in R-3, with constant ...
A Class of {n}-Entire Schrödinger operators
(Springer, 2013-09)
We study singular Schrödinger operators on a finite interval as selfadjoint extensions of a symmetric operator. We give sufficient conditions for the symmetric operator to be in the nn-entire class, which was defined in ...
Riesz transforms related to Schrödinger operators acting on BMO type spaces
(Academic Press Inc Elsevier Science, 2009-09)
In this work we obtain boundedness on suitable weighted BMO type spaces of Riesz transforms, and their adjoints, associated to the Schrödinger operator - Δ + V, where V satisfies a reverse Hölder inequality. Our results ...
Discrete spectrum of quantum Hall effect Hamiltonians II: Periodic edge potentials
(IOS PRESS, 2012)
We consider the unperturbed operator H-0 := (-i del-A)(2) + W, self-adjoint in L-2(R-2). Here A is a magnetic potential which generates a constant magnetic field b > 0, and the edge potential W = (W) over bar is a T-periodic ...
Spectral properties of a magnetic quantum Hamiltonian on a strip
(IOS PRESS, 2008)
We consider a 2D Schrodinger operator H(0) with constant magnetic field, on a strip of finite width. The spectrum of H(0) is absolutely continuous, and contains a discrete set of thresholds. We perturb H(0) by an electric ...