Given psi as function of x^2, and the potential energy as function of x, find the kinetic energy.(adsbygoogle = window.adsbygoogle || []).push({});

My reasoning:

KE=P^2/2m and use the momentum operator.

My professor's reasoning:

Calculate the hamiltonian operator and subtract the potential energy then divide by psi.

Note:

I talked to my professor about the part where he divided by psi since then kinetic energy will be a function of x which supposedly implies that momentum is a function of x which goes against the uncertainty principle. He didnt give me a statisfactory reply, and i feel that i might be having a concept hole.

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# Kinetic energy in quantum mechanics

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