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For odd anharmonic oscillators, it is well known that complex scaling can beused to determine resonance energy eigenvalues and the correspondingeigenvectors in complex rotated space. We briefly review and discuss variousmethods for the numerical determination of such eigenvalues, and also discussthe connection to the case of purely imaginary coupling, which is PT-symmetric.Moreover, we show that a suitable generalization of the complex scaling methodleads to an algorithm for the time propagation of wave packets in potentialswhich give rise to unstable resonances. This leads to a certain unification ofthe structure and the dynamics. Our time propagation results agree with knownquantum dynamics solvers and allow for a natural incorporation of structuralperturbations (e.g., due to dissipative processes) into the quantum dynamics.

Structure, Time Propagation and Dissipative Terms for Resonances