Quantum operators in generalized coordinates

It will be shown in this paper how to build quantum operators in generalized coordinates. A direct substitution of momentum operators in the classical expression suffices; the only condition being that this expression must be written in matrix form before the substitution. Specifically, we are then able to show that the two operators — iħ(∂/∂Q) and — i ħg-1/2 (∂/∂Q)g1/2, and only these, are to be associated with generalized momenta. © 1981, American Association of Physics Teachers

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