05-195 Jacob Schach Moeller

On the essential spectrum of the translation invariant Nelson model (357K, pdf) May 30, 05

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Abstract. Let $\RR^\nu\ni\xi\to\Sess(\xi)$ denote the bottom of the essential spectrum for the fiber Hamiltonians of the translation invariant massive Nelson model, which describes a $\nu$-dimensional electron linearly coupled to a scalar massive radiation field. We prove that, away from a locally finite set, $\Sess$ is an analytic function of total momentum.

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