Some Remarks Concerning a Pathological Matrix of Interest in the Inverse-Scattering Problem
Peter J. Redmond · Journal of Mathematical Physics · 1964
A Hermitian matrix which occurs in the theory of the quantum-mechanical inverse-scattering problem has apparently contradictory properties. It has a well-behaved inverse in spite of having zero as one of its eigenvalues. The properties of the matrix are investigated and the relevance of the results to the theory are discussed.