Spectral properties and bound-state scattering for weakly coupled λP(ϕ)2 models

J. Dimock; J. P. Eckmann

doi:10.1016/S0003-4916(97)90002-6

Spectral properties and bound-state scattering for weakly coupled λP(ϕ)2 models

J. Dimock
, J. P. Eckmann

Mathematics

University of Geneva

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

We analyze the particle structure in weakly coupled λP(φ{symbol})₂ models. Topics include existence of bound states and resonances, asymptotic expansions for bound-state masses, low-energy asymptotic completeness, and perturbation theory for scattering events involving bound states. The analysis is based on analyticity properties and perturbation theory for the Bethe-Salpeter kernel.

Original language	English
Pages (from-to)	289-314
Number of pages	26
Journal	Annals of Physics
Volume	103
Issue number	2
DOIs	https://doi.org/10.1016/S0003-4916(97)90002-6
State	Published - Feb 1977

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title = "Spectral properties and bound-state scattering for weakly coupled λP(ϕ)2 models",

abstract = "We analyze the particle structure in weakly coupled λP(φ\{symbol\})2 models. Topics include existence of bound states and resonances, asymptotic expansions for bound-state masses, low-energy asymptotic completeness, and perturbation theory for scattering events involving bound states. The analysis is based on analyticity properties and perturbation theory for the Bethe-Salpeter kernel.",

author = "J. Dimock and Eckmann, \{J. P.\}",

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T1 - Spectral properties and bound-state scattering for weakly coupled λP(ϕ)2 models

AU - Dimock, J.

AU - Eckmann, J. P.

PY - 1977/2

Y1 - 1977/2

N2 - We analyze the particle structure in weakly coupled λP(φ{symbol})2 models. Topics include existence of bound states and resonances, asymptotic expansions for bound-state masses, low-energy asymptotic completeness, and perturbation theory for scattering events involving bound states. The analysis is based on analyticity properties and perturbation theory for the Bethe-Salpeter kernel.

AB - We analyze the particle structure in weakly coupled λP(φ{symbol})2 models. Topics include existence of bound states and resonances, asymptotic expansions for bound-state masses, low-energy asymptotic completeness, and perturbation theory for scattering events involving bound states. The analysis is based on analyticity properties and perturbation theory for the Bethe-Salpeter kernel.

UR - https://www.scopus.com/pages/publications/0000727721

U2 - 10.1016/S0003-4916(97)90002-6

DO - 10.1016/S0003-4916(97)90002-6

M3 - Article

AN - SCOPUS:0000727721

SN - 0003-4916

VL - 103

SP - 289

EP - 314

JO - Annals of Physics

JF - Annals of Physics

IS - 2

ER -

Spectral properties and bound-state scattering for weakly coupled λP(ϕ)2 models

Abstract

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