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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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arsenalfan
#1
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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vela
#2
Jul17-11, 01:06 PM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,757
Please show us your work.
dextercioby
#3
Jul17-11, 03:59 PM
Sci Advisor
HW Helper
P: 11,927
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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