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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2002-29
August 2002

Van Hove Hamiltonians

exactly solvable models of the infrared and ultraviolet problem


Jan Derezinski


Quadratic bosonic Hamiltonians with a linear perturbation are studied. Depending on the infrared and ultraviolet behavior of the perturbation, their properties are described from the point of view of spectral and scattering theory.

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This paper has now been published in To appear in Annales Henri Poincaré