Regularization of δ′ potential in general case of deformed space with minimal length

Abstract

Abstract In the general case of deformed Heisenberg algebra leading to the minimal length, we present a definition of the δ′(x) potential as a linear kernel of potential energy operator in momentum representation. We find exactly the energy level and corresponding eigenfunction for δ′(x) and δ(x) − δ′(x) potentials in deformed space with arbitrary function of deformation. The energy spectrum for different partial cases of deformation function is analysed.