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Abstract

The notion of a resonance is a key notion in quantum physics. It refers to metastable states — i.e., to states which behave like stationary states for long time intervals, but which eventually break up. In other words, these are states of the continuous 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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© 2003 Springer-Verlag Berlin Heidelberg

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Gustafson, S.J., Sigal, I.M. (2003). Resonances. In: Mathematical Concepts of Quantum Mechanics. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55729-3_13

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  • DOI: https://doi.org/10.1007/978-3-642-55729-3_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44160-1

  • Online ISBN: 978-3-642-55729-3

  • eBook Packages: Springer Book Archive

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