Commutator of the Hamiltonian with Position and Hamiltonian with Momentum

  • Thread starter arsenalfan
  • Start date
  • #1
To prove:

xnohou.gif

pnohou.gif


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.. :(
 

Answers and Replies

  • #2
vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
15,228
1,830
Please show us your work.
 
  • #3
dextercioby
Science Advisor
Homework Helper
Insights Author
13,162
725
Post your work and take into consideration the hint to compute the commutators when applied on a wavefunction from their common dense everywhere domain.
 

Related Threads on Commutator of the Hamiltonian with Position and Hamiltonian with Momentum

Replies
4
Views
21K
Replies
1
Views
16K
Replies
1
Views
14K
Replies
3
Views
2K
Replies
20
Views
766
  • Last Post
Replies
1
Views
3K
Replies
1
Views
12K
Replies
3
Views
834
Replies
4
Views
7K
Replies
2
Views
2K
Top