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