ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS-Reference-Cited by-同舟云学术

ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS

Published:1999-04 Issue:04 Volume:11 Page:383-450
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

DEREZIŃSKI J.¹,GÉRARD C.²

Affiliation:

1. Department of Mathematical Methods in Physics, Warsaw University, Hoża 74, 00-682 Warszawa, Poland

2. Centre de Mathématiques, URA 169 CNRS, Ecole Polytechnique, 91128 Palaiseau Cedex, France

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X99000155

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