Form perturbations of the second quantized dirac field

Mathematical Physics Electronic Journal

Volumn 4, Issue , 1998, Pages 1-16

  Helffer, Bernard ^a   Siedentop, Heinz ^b  

^a Campus d'Orsay   (France)

^b UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

Dirac operator; External Fields in QED; Form Perturbations

Indexed keywords

EID: 0003259057     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. A. L. Carey and S. N. M. Ruijsenaars. On Fermion gauge groups, current algebras and Kac-Moody algebras. Acta Applicandae Mathematicae, 10(1):1-86, 1987.
2. William Desmond Evans, Peter Perry, and Heinz Siedentop. The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Commun. Math. Phys., 178(3):733-746, July 1996.
3. Klaus Fredenhagen. Implementation of automorphisms and derivations of the car-algebra. Comm. Math. Phys., 52(3):255-266, 1977.
4. K. O. Friedrichs. Mathematical Aspects of the Quantum Theory of Fields. Interscience Publishers, Inc., New York, 1 edition, 1953.
5. Tosio Kato. Perturbation Theory for Linear Operators, volume 132 of Grundlehren der mathematischen Wissenschaften. Springer-Verlag, Berlin, 1 edition, 1966.
6. M. Klaus. Nonregularity of the Coulomb potential in Quantum electrodynamics. Helv. Phys. Acta, 53(1):36-39, 1980.
7. M. Klaus and G. Scharf. The regular external field problem in quantum electrodynamics. Helv. Phys. Acta, 50(6):779-802, 1977.
8. M. Klaus and G. Scharf. Vacuum polarization in Fock space. Helv. Phys. Acta, 50(6):803-814, 1977.
9. H. E. Moses. The canonical transformation for an electron-positron field coupled to a time-independent electromagnetic field. Phys. Rev., 89(1):115-122, January 1953.
10. H. E. Moses. The canonical transformation for an electron-positron field coupled to a time-independent electromagnetic field. II. Phys. Rev., 95(2):237-242, 1954.
11. G. Nenciu and G. Scharf. On regular external fields in quantum electrodynamics. Helv. Phys. Acta, 51(3):412-424, 1978.
12. S. N. M. Ruijsenaars. Charged particles in external fields. I. Classical theory. J. Math. Phys., 18(4):720-737, 1977.
13. S. N. M. Ruijsenaars. Charged particles in external fields. II. The quantized Dirac and Klein-Gordon theories. Commun. Math. Phys., 52(3):267-294, 1977.
14. S. N. M. Ruijsenaars. On Bogoliubov transformations for systems of relativistic charged particles. J. Math. Phys., 18(3):517-526, 1977.
15. S. N. M. Ruijsenaars. On Bogoliubov transformations. II. The general case. Ann. Phys., 116(1):105-134, 1978.
16. J. Sucher. Relativistic many-electron Hamiltonians. Phys. Scripta, 36:271-281, 1987.
17. Bernd Thaller. The Dirac Equation. Texts and Monographs in Physics. Springer-Verlag, Berlin, 1 edition, 1992.