Annales De L Institut Henri Poincare-physique Theorique
On the completeness in three body scattering
Kalyan B. Sinha, M. Krishna, Pl. Muthuramalingam
Abstract
A time dependent proof of asymptotic completeness for the three body scattering in Quantum Mechanics is given when the pair potentials behave like (1+|x|) −2− e at ∞. Also some local singularity is allowed for the potentials On donne une demonstration «dependant du temps» de la completude asymptotique pour la diffusion a 3 corps en mecanique quantique lorsque les potentiels a 2 corps se comportent en (1+|x|) −2− e a l'infini. On permet des singularites locales de ces potentiels