Search for dissertations about: "Schrödinger Operators"
Showing result 1 - 5 of 25 swedish dissertations containing the words Schrödinger Operators.
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1. Schrödinger Operators in Waveguides
Abstract : In this thesis, which consists of four papers, we study the discrete spectrum of Schrödinger operators in waveguides. In these domains the quadratic form of the Dirichlet Laplacian operator does not satisfy any Hardy inequality. READ MORE
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2. Resolvent Estimates and Bounds on Eigenvalues for Schrödinger and Dirac Operators
Abstract : This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate to the problems of estimating perturbed eigenvalues. The thesis is based on four papers.The first paper focuses on the problem of localization of perturbed eigenvalues for multidimensional Schrödinger operators. READ MORE
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3. Dynamical Properties of Quasi-periodic Schrödinger Equations
Abstract : .... READ MORE
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4. Propagation of singularities for pseudo-differential operators and generalized Schrödinger propagators
Abstract : In this thesis we discuss different types of regularity for distributions which appear in the theory of pseudo-differential operators and partial differential equations. Partial differential equations often appear in science and technology. READ MORE
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5. Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators
Abstract : This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type operators. In Paper I we show that the Lieb-Thirring inequalities on moments of negative eigen¬values remain true, with possibly different constants, when the critical Hardy weight is subtracted from the Laplace operator. READ MORE