Wednesday, July 25, 2012

1207.5638 (Martin Könenberg et al.)

On enhanced binding and related effects in the non- and
semi-relativistic Pauli-Fierz models

Martin Könenberg, Oliver Matte
We prove enhanced binding and increase of binding energies in the non- and semi-relativistic Pauli-Fierz models, for arbitrary values of the fine-structure constant and the ultra-violet cut-off, and discuss the resulting improvement of exponential localization of ground state eigenvectors. For the semi-relativistic model we also discuss the increase of the renormalized electron mass and determine the linear leading order term in the asymptotics of the self-energy, as the ultra-violet cut-off goes to infinity.
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