We are interested in the quantum scattering of particles. The experimental results are cross sections corresponding to “long” wave packets that justify a time-independent formulation. We assume that we know a good model to describe the interaction, for instance, the Schrödinger equation, where the parameter describing the interaction is called “the potential.” Hence, the central rule of our work is a mathematical model enabling us to define a mapping ℳ from a “set of parameters” L, into a “set of results” ℰ.
KeywordsInverse Problem Inverse Method Local Potential Darboux Transformation Schrodinger Equation
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