Abstract
We give a definition of scattering matrices based on the asymptotic behaviors of generalized eigenfunctions proving existence of radial limits of the functions and show that these scattering matrices are equivalent to the ones defined by wave operator approach in long-range N-body problems including the problems of Coulomb interaction potentials. Equivalence of stationary and time-dependent definitions of the generalized Fourier transforms is also shown.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.