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Dereziński, J.; Gérard, C.

Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. (English) Zbl 1044.81556

Rev. Math. Phys. 11, No. 4, 383-450 (1999).
Summary: Spectral and scattering theory of massive Pauli-Fierz Hamiltonians is studied. Asymptotic completeness of these Hamiltonians is shown. The proof consists of three parts. The first is a construction of asymptotic fields and a proof of their Fock property. The second part is a geometric analysis of observables. Its main result is what we call geometric asymptotic completeness. Finally, the last part is a proof of asymptotic completeness itself.

Cited in 3 Reviews
Cited in 104 Documents

MSC:

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81T08 Constructive quantum field theory
47N50 Applications of operator theory in the physical sciences
81T10 Model quantum field theories
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\textit{J. Dereziński} and \textit{C. Gérard}, Rev. Math. Phys. 11, No. 4, 383--450 (1999; Zbl 1044.81556)
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