On the break-down of completeness of wave operators in potential scattering |
| |
| Authors: | D. R. Yafaev |
| |
| Affiliation: | (1) St. Banach International Mathematical Center, Warsaw, Poland;(2) Present address: Leningrad Department of Mathematical Institute, USSR Academy of Science, 27, r. Fontanka, 191011 Leningrad, USSR |
| |
| Abstract: | We study the Schrödinger operator with a potential that vanishes at infinity but the rate of falloff of the potential depends on the direction. It turns out that for such potentials scattering theory becomes in general multichannel. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
