Scattering Matrix,Phase Shift,Spectral Shift and Trace Formula for One-dimensional Dissipative Schrödinger-type Operators |
| |
Authors: | Hagen Neidhardt Joachim Rehberg |
| |
Institution: | (1) Weierstrass-Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany |
| |
Abstract: | The paper is devoted to Schr?dinger operators with dissipative boundary conditions on bounded intervals. In the framework
of the Lax-Phillips scattering theory the asymptotic behaviour of the phase shift is investigated in detail and its relation
to the spectral shift is discussed. In particular, the trace formula and the Birman-Krein formula are verified directly. The
results are exploited for dissipative Schr?dinger-Poisson systems.
In friendship dedicated to P. Exner on the occasion of his 60th birthday
This work was supported by DFG, Grant 1480/2. |
| |
Keywords: | Primary 47A20 Secondary 47B44 47A40 |
本文献已被 SpringerLink 等数据库收录! |