Boundary values for an eigenvalue problem with a singular potential

Abstract

In this paper we consider the inverse spectral problem on the interval [0,1]. Thisdetermines the three-dimensional Schrödinger equation with from singularsymmetric potential. We show that the two spectrums uniquely identify thepotential function 𝑞(𝑟) in a single Sturm-Liouville equation, and we obtain newKeywords: evidence for the difference in the 𝑞(𝑟) − 𝑞(𝑟̃) of the Hochstadt theorem.