We know that in Cartesian position basis the representation of momentum is -ihbar (d/dx)(adsbygoogle = window.adsbygoogle || []).push({});

Consider a cylindrical/spherical/whatever curvilinear coordinates. To make life simple, consider a particle constrained to move on a circle so that its position can described by θ only. Suppose we express the wavefunction as a function of θ, not x. The system has an Lagrangian from which we can find the conjugate momentum pθ

Can we thus declare that pθ can be represented by -ihbar (d/dθ) in the θ basis?

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# Representation of conjugate momentum

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