On the three-body long-range scattering problems

✍ Scribed by Xue Ping Wang

• Book ID: 104756809
• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 424 KB
• Volume: 25
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00398399

✦ Synopsis

In this Letter, we give results on precise microlocalized time-decay estimates in three-body long-range scattering problems. We prove the asymptotic completeness of wave operators in three-body long-range scattering for a class of long-range interactions of the form Vl(X ) + V~(x), where V 1 is nonnegative and decays like O(Ixl % for some %> 1/2 and V~ decays like O(Ix ] ~) for some 7 > 2( 1 e0)/~ 0.