Schrödinger Operators with Oblique Transmission Conditions in R2

Explore a 29-minute conference talk on Schrödinger operators with oblique transmission conditions in R2, presented at the Workshop on "Spectral Theory of Differential Operators in Quantum Theory" held at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into a family of Schrödinger operators featuring unique transmission conditions similar to those associated with delta'-potentials, but utilizing the Wirtinger derivative on a smooth closed curve in R2. Discover how boundary triplet techniques are employed to study self-adjointness and spectral properties, with a focus on attractive interactions and their impact on discrete spectrum. Learn about the connection between these operators and non-relativistic limits of Dirac operators with electrostatic and Lorentz scalar delta-potentials, extending known results from one-dimensional cases. Gain insights from this collaborative work by Georg Stenzel, Jussi Behrndt, and Markus Holzmann, advancing understanding in quantum theory and differential operators.

Georg Stenzel - Schrödinger operators with oblique transmission conditions in R2