Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials (Q1814220)

The authors investigate spectral and scattering properties of the self- adjoint extension (constructed by the quadratic form method) in \(L^ 2(\mathbb{R}^ 3)\) formally of the form \[ -\Delta+q(x)\delta(| x|- a), \] where \(q(x)\) is real smooth function on \(\{x: | x| =a\}\), \((a>0)\); \(\delta\) is the one-dimensional delta function.