On the ground state energy of the translation invariant Pauli-Fierz model
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- by Jean-Marie Barbaroux, Thomas Chen, Vitali Vougalter and Semjon Vugalter PDF
- Proc. Amer. Math. Soc. 136 (2008), 1057-1064 Request permission
Abstract:
In this note, we determine the ground state energy of the translation invariant Pauli-Fierz model to subleading order $O(\alpha ^3)$ with respect to powers of the finestructure constant $\alpha$ and prove rigorous error bounds of order $O(\alpha ^{4})$. A main objective of our argument is its brevity.References
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Additional Information
- Jean-Marie Barbaroux
- Affiliation: Centre de Physique Théorique, Luminy Case 907, 13288 Marseille Cedex 9, France, and Département de Mathématiques, Université du Sud Toulon-Var, 83957 La Garde Cedex, France
- Email: barbarou@univ-tln.fr
- Thomas Chen
- Affiliation: Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544
- Email: tc@math.princeton.edu
- Vitali Vougalter
- Affiliation: Mathematics Department, 202 Mathematical Sciences Bldg, University of Missouri, Columbia, Missouri 65211-4100
- Email: vitali@math.missouri.edu
- Semjon Vugalter
- Affiliation: Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresien- strasse 39, 80333 München, and Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart
- Email: wugalter@mathematik.uni-muenchen.de
- Received by editor(s): December 29, 2006
- Published electronically: November 23, 2007
- Communicated by: Michael I. Weinstein
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1057-1064
- MSC (2000): Primary 81Q10
- DOI: https://doi.org/10.1090/S0002-9939-07-09241-6
- MathSciNet review: 2361881