Some results on many-body scattering theory

✍ Scribed by Paul Federbush

• Publisher: Elsevier Science
• Year: 1968
• Tongue: English
• Weight: 605 KB
• Volume: 49
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(68)90197-8

✦ Synopsis

Several problems are considered related to the study of the T-matrix in the manybody scattering situation. Expanding previous results, the T-matrix is studied outside the realm of perturbation theory, with relation to establishing its analytic properties under the rotation of the final momenta from real to complex values, k + (1 + 8)k. The geometry of the contour distortion is expressed so as to involve nonperturbative Tmatrix element subblocks with incoming and outgoing momenta uniformly rotated. An unrelated elementary Hilbert space argument is given to bound the contributions of high-energy intermediate states to the resolvent identity. * Sloan Foundation Fellow.