03-198 Vladimir Georgescu, Christian Gerard, Jacob Schach-Moeller

Spectral Theory of Massless Pauli-Fierz Models (779K, Postscript) Apr 27, 03

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Abstract. We study the spectral theory of massless Pauli-Fierz models using an extension of the Mourre method. We prove the local finiteness of point spectrum and a limiting absorption principle away from the eigenvalues for an arbitrary coupling constant. In addition we show that the expectation value of the number operator is finite on all eigenvectors.

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