We revisit an old subject to discuss relationships between the dynamics for particles subjected to potentials and the dynamics for particles moving freely on background geometries, in the context of non-relativistic quantum mechanics. In particular, we illustrate how selected geometries can be used to regularize singular potentials. We also compute scattering amplitudes for quanta incident on a static non-relativistic wormhole.

Topics
Riccati equation, Non-relativistic quantum theory, Inelastic scattering, Elastic scattering, Scattering theory, Schrodinger equations
© 2022 Author(s). Published under an exclusive license by AIP Publishing.
2022
Author(s)
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