Fermi pseudo‐potential and energy‐dependent point interactions in one dimension

There are point interactions in one dimension that can be interpreted as self‐adjoint extensions (SAEs) of the kinetic energy [KE] operator. Here, we report the results obtained in two recent papers cited in [1]. In the first, we consider point interactions in one dimension in the form of the Fermi pseudo‐potential, in one and two‐channel cases. In the second, we consider a new type of point interactions that are self‐adjoint and effectively energy‐dependent.