A necessary and sufficient condition for a pair of subspaces to be the in and out scattering subspaces for a simple scattering system is obtained. It involves the existence of certain representations of the Galilean presymmetry group on these subspaces. The physical interpretation is that, in scattering, particles remain as particles even in the presence of the interaction.
Topics
Scattering theory
REFERENCES
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For a comparison of some of approaches to simple scattering theory see B. Simon, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms (Princeton U.P., Princeton, N.J., 1971), Chap. IV.
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L. E. Thomas, “On the algebraic theory of scattering,” Geneva preprint, May 1973.
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© 1975 American Institute of Physics.
1975
American Institute of Physics
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