Abstract
Group theory and symmetries have played an important role in Physics in determining allowed quantum numbers of quantum states, transition selection rules and rates between states, and energy levels for the states. Generally these properties require a knowledge of the matrix elements of the generators of the groups, but not the matrix elements of the group representation matrix. In this paper I shall discuss the application of group theory to the scattering of particles from composite systems in which the scattering function at a fixed impact parameter between different states of the system is the group representation matrix. This application is appropriate for 1) small angle scattering when the eikonal (or Glauber approximation1) is valid and 2) composite systems which has a dynamical symmetry. Such applications have been made for medium energy proton scattering from nuclei2–5 and for electron scattering from molecules.6
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Ginocchio, J.N. (1991). Scattering Theory and the Group Representation Matrix. In: Gruber, B., Biedenharn, L.C., Doebner, H.D. (eds) Symmetries in Science V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3696-3_11
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DOI: https://doi.org/10.1007/978-1-4615-3696-3_11
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