We discuss some equivalence relations between the non-relativistic quantum mechanics for particles subjected to potentials and for particles moving freely on background geometries. In particular, we illustrate how selected geometries can be used to regularize singular potentials.
On non-commutativity in quantum theory (III): determinantal point processes and non-relativistic quantum mechanics
1/N-expansions in non-relativistic quantum mechanics
About non-relativistic quantum mechanics and electromagnetism
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