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Commutator of the Hamiltonian with Position and Hamiltonian with Momentum

 
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Jul17-11, 11:54 AM   #1
 

Commutator of the Hamiltonian with Position and Hamiltonian with Momentum


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   #2
 
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Please show us your work.
 
Jul17-11, 03:59 PM   #3
 
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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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commutator, hamiltionian, momentum, position
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