Self-energy of one electron in non-relativistic QED

Journal of Functional Analysis

Volumn 207, Issue 1, 2004, Pages 68-110

  Catto, Isabelle ^a   Hainzl, Christian ^b  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

Enhanced binding; QED; Self energy

Indexed keywords

EID: 1642479018     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(03)00064-8     Document Type: Article

References (12)

1. V. Bach, J. Fröhlich, I.-M. Sigal, Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field, Comm. Math. Phys. 207 (1999) 249-290.
2. H. Cycon, R. Froese, W. Kirsch, B. Simon, Schroedinger Operators, 1st Edition, Springer, Berlin, Heidelberg, New York, 1987.
3. J. Fröhlich, Existence of dressed one electron states in a class of persistent models, Fortschritte Physik 22 (1974) 159-198.
4. M. Griesemer, E.H. Lieb, M. Loss, Ground states in non-relativistic quantum electrodynamics, Invent. Math. 145 (3) (2001) 557-595.
5. Ch. Hainzl, One non-relativistic particle coupled to a photon field, Ann. H. Poincaré, in press.
6. Ch. Hainzl, R. Seiringer, Mass renormalization and energy level shift in Non-relativistic QED, Adv. Theor. Math. Phys., in press.
7. Ch. Hainzl, V. Vougalter, S.-A. Vugalter, Enhanced binding in non-relativistic QED, Commun. Math. Phys. 233 (2003) 13-26.
8. F. Hiroshima, Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants, Ann. Henri Poincaré 3 (1) (2002) 171-201.
9. F. Hiroshima, H. Spohn, Enhanced Binding through coupling to a quantum field, Ann. Henri Poincaré 2 (6) (2001) 1159-1187.
10. E.H. Lieb, M. Loss, Self-energy of electrons in non-perturbative QED, in: R. Weikard, G. Weinstein (Eds.), Differential Equations and Mathematical Physics, University of Alabama, Birmingham, 1999, Amer. Math. Soc. Internat. Press, Providence, RI, 2000, pp. 279-293.
11. E.H. Lieb, M. Loss, Analysis, in: Graduate Studies in Mathematics, Vol. 14, Amer. Math. Soc., Providence, RI, 2001.
12. M. Reed, B. Simon, Methods of Modern Mathematical Physics, Vol. IV, Analysis of Operators, Academic Press, New York, London, 1978.