Why would the hamiltonian, expressed in spherical coordinates, give a free partucle a non-zero acceleration in the radial direction? I'm learning it from Liboff's quantum mechanics book and he says it's because of the inappropriate choice of coordinate system, but I still don't get it.
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It would be useful if you referenced the exact chapter/page of the book or, even better, included a small quote to make this question self contained. – AccidentalTaylorExpansion Mar 27 '22 at 21:44
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This may also be helpful: https://physics.stackexchange.com/q/558668/ – bleuofblue Mar 27 '22 at 21:47