Nonlocal Separable Interactions
Nonlocal separable two-body interactions have often been used in nuclear physics and many-body problems in the past because of the simple fact that the two-body Schrödinger equation is easily solvable for them, and leads to closed expressions for a large class of such interactions. They have also been used very systematically with Faddeev equations for the three-body problem. Their main feature is that the partial t-matrix has a very simple form, and can be continued off the energy-shell in a straightforward manner, a feature which is most important, as is well known, in nuclear physics, and in the Faddeev equations.
KeywordsPhase Shift Inverse Problem Negative Energy Singular Integral Equation Positive Energy
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