Abstract
In this chapter we derive general results for spherically symmetric situations, i.e., for situations when in addition to the free Hamiltonian K, the interaction Hamiltonian V and the transition operator T also commute with the operator of angular momentum. For the sake of simplicity we consider the spin-zero case. In Section XVI.1, the partial-wave expansion is discussed and the partial cross sections are derived. In Section XVI.2, the phase shift is introduced as a consequence of the unitarity of the S-matrix. In Section XVI.3, a graphical representation of the partial-wave amplitude, the Argand diagram, is introduced.
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© 1979 Springer-Verlag New York Inc.
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Böhm, A. (1979). Elastic and Inelastic Scattering for Spherically Symmetric Interactions. In: Quantum Mechanics. Texts and Monographs in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6126-1_16
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DOI: https://doi.org/10.1007/978-1-4612-6126-1_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6128-5
Online ISBN: 978-1-4612-6126-1
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