Absolute summability of the trace relation for certain Schrödinger operators |
| |
| Authors: | F. Gesztesy H. Holden B. Simon |
| |
| Affiliation: | (1) Department of Mathematics, University of Missouri, 65211 Columbia, MO, USA;(2) Department of Mathematical Sciences, The Norwegian Institute of Technology, University of Trondheim, N-7034 Trondheim, Norway;(3) Division of Physics, Mathematics and Astronomy, California Institute of Technology, 253-37 Pasadena, CA 91125, USA |
| |
| Abstract: | A recently established general trace formula for one-dimensional Schrödinger operators is systematically studied in the context of short-range potentials, potentials which approach different spatial asymptotes sufficiently fast, and appropriate impurity (defect) interactions in one-dimensional solids. We prove the absolute summability of the trace formula and establish its connections with scattering quantities, such as reflection coefficients, in each case.This material is based upon work supported by the National Science Foundation under Grant No. DMS-9101715. The Government has certain rights in this material |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
