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Spectral Theory for Schrödinger Operators with $$\varvec{\delta }$$ δ -Interactions Supported on Curves in $$\varvec{\mathbb {R}^3}$$ R 3
The main objective of this paper is to systematically develop a spectral and scattering theory for self-adjoint Schrödinger operators with $$\delta $$ -interactions supported on closed curves in $$\mathbb {R}^3$$ . We provide bounds for the number of negative eigenvalues depending on the geometry of the curve, prove an isoperimetric …