Abstract
Properties of complex energy solutions to the Schrodinger equation are studied in a spectral representation of the type used in the Lee-Friedrichs model of unstable states. The construction of a complete, orthonormal set of complex energy states is first discussed for a general Hamiltonian and then illustrated in detail for a new solvable model. This model determines normalizable eigenvectors corresponding to resonant solutions to the eigenvalue equation for a simple potential scattering problem.
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