Abstract
The wave operator theory of quantum dynamics is reviewed and applied to the study of line profiles and to the determination of the dynamics of interacting resonances. New exact energy-dependent effective Hamiltonians are derived from a model Hamiltonian describing several resonances interacting with several continua. These effective Hamiltonians are especially relevant for describing and understanding the physics near the energy thresholds of decaying channels. The applications underline the relevance of investigating simultaneously spectroscopy (line profiles) and the dynamics (transition probabilities) by means of effective Hamiltonians. The physics of a discrete state coupled to a finite-width continuum is revisited. A novel model study of giant resonances is presented.
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Paidarová, I., Durand, P. (2003). Modeling Quantum Resonances: I. Dynamics of Interacting Resonances. In: Maruani, J., Lefebvre, R., Brändas, E.J. (eds) Advanced Topics in Theoretical Chemical Physics. Progress in Theoretical Chemistry and Physics, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0635-3_9
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DOI: https://doi.org/10.1007/978-94-017-0635-3_9
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