Simple quantum mechanics operator question

Chowie
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Homework Statement



What physical quantity is represented by the operator i\bar{h}∂/∂t

Homework Equations



i\bar{h}∂/∂t


The Attempt at a Solution



It's a one mark question, I just have no idea what it is and I can't find it in my notes D:.
 
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Look at the Schrodinger equation.
 
Is it total energy for a free particle?
 
Chowie said:
Is it total energy for a free particle?

The Schrodinger equation applies to more than just free particles. But yes, it's the Hamiltonian. So I think it would be fair to call it the energy.
 
Hmm, I have the hamiltonian written down here as

\hat{H}=-\frac{\bar{h}^{2}}{2m}∂^{2}/∂x^{2}


So that is also equal to i\bar{h}∂/∂t ?

\vec{}
 
Chowie said:
Hmm, I have the hamiltonian written down here as

\hat{H}=-\frac{\bar{h}^{2}}{2m}∂^{2}/∂x^{2}


So that is also equal to i\bar{h}∂/∂t ?

\vec{}

That's the Hamiltonian for a free particle in one dimension. It's a special case. Your operator is the Hamiltonian even in cases where that is not the Hamiltonian.
 
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