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:
-∞ <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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© 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
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