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Resonances

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Mathematical Concepts of Quantum Mechanics

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The notion of a resonance is a key notion in quantum physics. It refers to a metastable state – i.e., to a state which behaves like a stationary (bound) state for a long time interval, but which eventually breaks up. In other words, the resonances are states of the essential spectrum (i.e. scattering states), which for a long time behave as if they were bound states. In fact, the notion of a bound state is an idealization: most of the states which are (taken to be) bound states in certain models, turn out to be resonance states in a more realistic description of the system.

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Correspondence to Stephen J. Gustafson .

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Gustafson, S.J., Sigal, I.M. (2020). Resonances. In: Mathematical Concepts of Quantum Mechanics. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-59562-3_17

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