Department of mathematics and statistics: Research Seminar

• Date: Friday 4.3.2005
  Hours: 14.15-16.00
  Room: D218
  
  "A Pontryagin space model for soliton potentials "
  Dr. Annemarie Luger
  
  Abstract.
  The classical (one-dimensional) Schrödinger operator with potential can be seen as an additive perturbation of the second derivative operator. For a certain class of potentials we are considering the following problem: Find a domain perturbation (more precisely, a generalized point interaction) leading to the same scattering data. It turns out that there exists a solution only if Pontryagin spaces are involved. However, it need not be unique, which will be illustrated with the help of soliton solutions of the Korteweg-de Vries equation. This talk is based on joint work with Pavel Kurasov (Lund).