Karlsruhe 2011 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: Quantum Field Theory in Curved Spacetime

MP 11.4: Talk

Wednesday, March 30, 2011, 09:30–09:50, 30.45: 201

Physics in vortex spacetimes: from the core to infinity — •Piotr Marecki — Uni Duisburg-Essen

In the talk I will continue to develop the subject already reported upon in the 2010 DPG Frühjahrstagung, namely the study of physical and mathematical problems related to the behavior of (classical and quantum) fields in ``rotating spacetimes''. The discussion is based upon an analogy between scalar fields in curved spacetimes and sound-waves propagating on irrotational background flows of fluids. As discussed in 2010 a typical superfluid vortex provides a good arena to study some of the most important issues expected to arise. (Essential points will be repeated in the introduction.) In this talk I will focus on the relation between sound scattering on a vortex and the Bohm-Aharonov scattering, and also on the issue of extending the ``radial operator'' to the core of the vortex. In the latter case I will make contact with the standard theory of extensions of non-essentially-selfadjoint operators (for singular potentials), and discuss how the parameter specifying the chosen extension influences scattering characteristics.