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Showing 1 to 2 of 2 for “"chain of oscillators"”.

  1. Spectral gaps for many-particle systems, semiclassical analysis of graphene, and quantum dynamics

    This thesis consists of three parts with five chapters. All results presented in this thesis are within the field of mathematical quantum mechanics and investigate theoretical problems as well as computational problems for (non)-linear Schrödinger equations: The first two results, presented in the …

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  2. Quantitative studies and Hydrodynamical limits for interacting particle systems

    The main results of my work contribute to the mathematical study of microscopic non-equilibrium systems that were first introduced in order to derive macroscopic physical laws such as Fourier's law. In particular the main objective is to determine the scaling of the spectral gap, i.e. the …

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