On the existence of ground states for massless Pauli-Fierz Hamiltonians

Annales Henri Poincare

Volumn 1, Issue 3, 2000, Pages 443-459

  Gerard C ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040212681     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000230050002     Document Type: Article

References (7)

1. Arai, A., Hirokawa, M.: On the existence and uniqueness of ground states of a generalized spin-boson model. J. Funct. Anal. 151 (1997) 455-503.
2. Bach, V., Fröhlich, J., Sigal, I.: Quantum electrodynamics of confined non-relativistic particles, Sonderforschungsbereich 288 preprint, 1996.
3. Berezin, F.A.: The Method of Second Quantization, Academic Press New York San Francisco London, 1966.
4. Dereziński, J., Gérard, C.: Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Rev. Math. Phys. 11 (4) (1999) p383-450.
5. Dixmier, J.: Les algèbres d'opérateurs dans l'espace hilbertien, Gauthier-Villars, Paris, 1957.
6. Fröhlich, J.: On the infrared problem in a model of scalar electrons and massless scalar bosons, Ann. Inst. Henri Poincaré A19 (1973) 1-103.
7. Spohn, H.: Ground state of a quantum particle coupled to a scalar Bose field. Lett. Math. Phys. 44 (1998), no. 1, 9-16.