Inverse problems in N-body scattering

2003/02/25 by Gunther Uhlmann, Uhlmann, Gunther, Andras Vasy +1
Mathematics · Physics and Astronomy · #81U10 (Secondary) #81U40 (Primary) 35P25 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35P25 #msc:81U10 #msc:81U40

paper · pdf · doi:10.48550/arxiv.math/0302305

19 pages, 1 figure

arxiv created 2003/02/25 · arxiv updated 2009/11/30

Abstract

We survey finite energy inverse results in N-body scattering, and we also sketch the proof of the extension of our recent two-cluster to two-cluster three-body result to the many-body case: this requires only minor modifications. We also indicate how to extend a free-to-free inverse result in three-body scattering to the many-body case.

Related

• Inverse N-body scattering with the time-dependent Hartree-Fock approximation
• Classical Grand Angular Momentum in N-Body Problems
• The three-quasi-particle scattering problem: asymptotic completeness for short-range systems
• Spectral analysis of N-body Schrödinger operators at two-cluster thresholds
• An Effective Field Theory for the Three-Body System