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Quantum Resonances: Theory and Models

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

Abstract

Along this paper, we give a short review of some interesting aspects of a formulation of quantum resonances. In particular how and why to characterize quantum resonances through Gamow state vectors as functionals of spaces constructed using Hardy functions on a half-plane. In addition, we give a couple of quite distinct interesting examples of resonance models. Here, we limit ourselves to the non-relativistic case.

Mathematics Subject Classification (2010). Primary 81Q99; Secondary 81U99.

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Correspondence to Manuel Gadella .

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© 2014 Springer International Publishing Switzerland

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Gadella, M. (2014). Quantum Resonances: Theory and Models. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_9

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