05-294 H. Neidhardt, J. Rehberg

Scattering matrix, phase shift, spectral shift and trace formula for one-dimensional dissipative Schr\"odinger-type operators (400K, pdf) Aug 29, 05

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. The paper is devoted to Schr\"odinger operators on bounded intervals of the real axis with dissipative boundary conditions. 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\"odinger-Poisson systems.

Files: 05-294.src( 05-294.keywords , preprint01.pdf.mm )