We look at the Schrodinger operator H=-(DELTA)+q(x) where (DELTA) is the Laplacian and q(x)(epsilon)R('n). We give sufficient conditions for the spectrum of H to contain the interval of the form {lcub}a,(INFIN)) and ...

In this thesis we consider an unperturbed self-adjoint operator H(,0) on a Hilbert space H(,0), the operators A, B mapping H(,0) to the Hilbert space K, and J a bounded linear operator mapping the Hilbert space H(,0) to ...

This dissertation considers three problems associated with the Klein-Gordon Equation: (a) The conditions for the operator to be self-adjoint; (b) The existence of the wave operator; and (c) The completeness of the wave ...