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... Specifically, nothing more than the structure constant is needed. As a consequence, we can go back and forth between momentum basis (states |p⟩ that satisfyp a |p⟩ = p a |p⟩) and coordinate basis (states |x⟩ that satisfyx a |x⟩ = x a |x⟩) by the standard quantum Fourier transform [42]. The kinetic term ap 2 a and potential term V (x) are simple in the momentum basis and coordinate basis, respectively [36]. ...