Trace formulae for Schrödinger operators with singular interactions
Jussi BehrndtTU Graz, Austria
Matthias LangerUniversity of Strathclyde, Glasgow, UK
Vladimir LotoreichikNuclear Physics Institute, Řež - Prague, Czech Republic
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Let be a -smooth closed compact hypersurface, which splits the Euclidean space into two domains . In this note self-adjoint Schrödinger operators with and -interactions supported on are studied. For large enough the difference of th powers of resolvents of such a Schrödinger operator and the free Laplacian is known to belong to the trace class. We prove trace formulae, in which the trace of the resolvent power difference in is written in terms of Neumann-to-Dirichlet maps on the boundary space .