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Nonlinear Scattering Theory

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Scattering Theory in Mathematical Physics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 9))

Abstract

Scattering theory compares the behavior in the distant future and past of a system evolving in time. It is called nonlinear if the system evolves in a nonlinear fashion. Consider a one-parameter group of operators on some linear space X:

$$ U(t)U(s) = U(t + s);U(o) = I $$

-∞ <t, s <+∞. We think of U(t)f as representing the state at time t beginning with a state f ε X at time zero. We are interested in the behavior of U(t)f as t → ±∞ and in the relationship between the behavior at +∞ and at −∞.

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Author information

Authors and Affiliations

  1. Brown University, USA

    W. A. Strauss

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  1. W. A. Strauss
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of Denver, Denver, Colo., USA

    J. A. Lavita  & J.-P. Marchand  & 

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© 1974 D. Reidel Publishing Company, Dordrecht-Holland

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Strauss, W.A. (1974). Nonlinear Scattering Theory. In: Lavita, J.A., Marchand, JP. (eds) Scattering Theory in Mathematical Physics. NATO Advanced Study Institutes Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2147-0_3

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  • DOI: https://doi.org/10.1007/978-94-010-2147-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2149-4

  • Online ISBN: 978-94-010-2147-0

  • eBook Packages: Springer Book Archive

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