We derive expressions for the $K$ matrix for the general case where the Hamiltonian is separated as $H=H_0+V$, and $H_0$ can have discrete as well as continuum states. It is shown that the correct handling of the bound states in the continuum eliminates one of the correction terms proposed by Tobocman and Nagarajan. In addition, some of the properties of the $K$ matrix evaluated at complex energies are discussed.

• Received 12 June 1970

DOI:https://doi.org/10.1103/PhysRevC.2.1648