Search for dissertations about: "Lieb-Thirring"
Showing result 1 - 5 of 7 swedish dissertations containing the word Lieb-Thirring.
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1. 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
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2. Spectral Inequalities and Their Applications in Quantum Mechanics
Abstract : The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics.In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. READ MORE
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3. Spectral estimates for the magnetic Schrödinger operator and the Heisenberg Laplacian
Abstract : I denna avhandling, som omfattar fyra forskningsartiklar, betraktas två operatorer inom den matematiska fysiken. De båda tidigare artiklarna innehåller resultat för Schrödingeroperatorn med Aharonov-Bohm-magnetfält. READ MORE
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4. Trace Formulae for Fourth Order Differential Operators and their Applications
Abstract : Paper I. Trace Formulae and Spectral Properties of FourthOrder Differential Operators.We derive trace formulae forfourth order differential operators in dimension one anddiscuss their connection with sharp Lieb-Thirring inequalitiesfor the Riesz means of negative eigenvalues of order γ≥ 7/4. READ MORE
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5. Properties of the Discrete and Continuous Spectrum of Differential Operators
Abstract : This thesis contains three scientific papers devoted to the study of different spectral theoretical aspects of differential operators in Hilbert spaces.The first paper concerns the magnetic Schrödinger operator (i∇ + A)2 in L2(ℝn). READ MORE