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Divergences of the semiclassical S-matrix beyond hyperbolic systems

  • Part II: Seminars
  • Conference paper
  • First Online:
Chaos — The Interplay Between Stochastic and Deterministic Behaviour

Part of the book series: Lecture Notes in Physics ((LNP,volume 457))

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Abstract

It is shown that the absolute convergence of the semiclassical S-matrix formula in the case of irregular inelastic scattering depends only on the fractal dimension of the corresponding singular set of the scattering function, and the critical fractal dimension is derived. Ways of handling divergences are discussed.

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Author information

Authors and Affiliations

  1. Institute of Astronomy, Nicholas Copernicus University, PL-87-100, Torun, Poland

    Krzysztof Stefański

Authors
  1. Krzysztof Stefański
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Piotr Garbaczewski Marek Wolf Aleksander Weron

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© 1995 Springer-Verlag

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Stefański, K. (1995). Divergences of the semiclassical S-matrix beyond hyperbolic systems. In: Garbaczewski, P., Wolf, M., Weron, A. (eds) Chaos — The Interplay Between Stochastic and Deterministic Behaviour. Lecture Notes in Physics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60188-0_80

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  • DOI: https://doi.org/10.1007/3-540-60188-0_80

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60188-3

  • Online ISBN: 978-3-540-44722-1

  • eBook Packages: Springer Book Archive

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