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On the ground state energy of the translation invariant Pauli-Fierz model
Author(s):
Jean-Marie
Barbaroux;
Thomas
Chen;
Vitali
Vougalter;
Semjon
Vugalter
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1057-1064.
MSC (2000):
Primary 81Q10
Posted:
November 23, 2007
MathSciNet review:
2361881
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Abstract:
In this note, we determine the ground state energy of the translation invariant Pauli-Fierz model to subleading order  with respect to powers of the finestructure constant  and prove rigorous error bounds of order  . A main objective of our argument is its brevity.
References:
-
- 1.
- V. Bach, T. Chen, J. Fröhlich, I.M. Sigal, The renormalized electron mass in non-relativistic quantum electrodynamics. J. Funct. Anal., 243 (2), 426-535, 2007. MR 2289695
- 2.
- J.-M. Barbaroux, T. Chen, S.A. Vugalter, Binding conditions for atomic
 -electron systems in non-relativistic QED, Ann. Henri Poincaré, 4, 1101-1136, 2003. MR 2031161 (2005g:81348) - 3.
- V. Bach, J. Fröhlich, A. Pizzo, Infrared-finite algorithms in QED: The groundstate of an atom interacting with the quantized radiation field, Comm. Math. Phys., 264 (1), 145-165, 2006. MR 2212219 (2007d:81248)
- 4.
- I. Catto, C. Hainzl, Self-energy of one electron in non-relativistic QED, J. Funct. Anal., 207, 68-110, 2004. MR 2027637 (2005f:81294)
- 5.
- T. Chen, Infrared renormalization in non-relativistic QED and scaling criticality, submitted (preprint http://arxiv.org/abs/math-ph/0601010), 2006.
- 6.
- T. Chen, J. Fröhlich, Coherent infrared representations in non-relativistic QED, Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday, Proc. Sympos. Pure Math., AMS, 2007. (preprint http://xxx.arxiv.org/abs/math-ph/0601009). MR 2310197
- 7.
- C. Hainzl, M. Hirokawa, H. Spohn, Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. J. Funct. Anal., 220 (2), 424-459, 2005. MR 2119286 (2005k:81362)
- 8.
- C. Hainzl, V. Vougalter, S.A. Vugalter, Enhanced binding in non-relativistic QED, Comm. Math. Phys., 233, 13-26, 2003. MR 1957730 (2003j:81247)
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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
DOI:
10.1090/S0002-9939-07-09241-6
PII:
S 0002-9939(07)09241-6
Received by editor(s):
December 29, 2006
Posted:
November 23, 2007
Communicated by:
Michael I. Weinstein
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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