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Commutator of the Hamiltonian with Position and Hamiltonian with Momentum

by arsenalfan
Tags: commutator, hamiltionian, momentum, position
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Jul17-11, 11:54 AM
P: 1
To prove:

Commutator of the Hamiltonian with Position:
i have been trying to solve, but i am getting a factor of 2 in the denominator carried from p2/2m

Commutator of the Hamiltonian with Momentum:
i am not able to proceed at all...

Kindly help.. :(
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Jul17-11, 01:06 PM
Sci Advisor
HW Helper
PF Gold
P: 11,774
Please show us your work.
Jul17-11, 03:59 PM
Sci Advisor
HW Helper
P: 11,928
Post your work and take into consideration the hint to compute the commutators when applied on a wavefunction from their common dense everywhere domain.

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