Abstract
Abstract The theory of resonant states provides an exact analytical approach for the description of open quantum systems. Resonant states are defined by imposing purely outgoing boundary conditions to the solutions to the Schrodinger equation. This leads to complex energy eigenvalues and hence to a non-Hermitian quantum-mechanical formulation. This paper discusses some rigorous analytical results of this formalism for potentials of finite range with applications to scattering and the time evolution of decay.
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