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On Enhanced Binding and Related Effects in the Non- and Semi-Relativistic Pauli-Fierz Models

Autor(en)
Martin Könenberg, Oliver Matte
Abstrakt

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.

Organisation(en)
Mathematische Physik
Externe Organisation(en)
Ludwig-Maximilians-Universität München
Journal
Communications in Mathematical Physics
Band
323
Seiten
635-661
Anzahl der Seiten
27
ISSN
0010-3616
DOI
https://doi.org/10.1007/s00220-013-1783-1
Publikationsdatum
10-2013
Peer-reviewed
Ja
ÖFOS 2012
103019 Mathematische Physik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/c2b80237-8ec1-455f-abda-9697b9652937