Question
Download Solution PDFGiven that the commutator
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:-
For linear and position momentum:
[x̂, p̂x] = iℏ ....(1)
[p̂x, x̂] = -iℏ ...(2)
[x̂n, p̂x] = nxn-1 [x, p̂x] ....(3)
[p̂xn, x̂] = npxn-1[p̂x, x̂] .....(4)
Explanation:-
- Given that the commutator
=
- Now using equation (4) and (1),
[p̂x, x̂] = -iℏ
- Now, from equation (5) we get,
=
=
=
=
=
=
Conclusion:-
Hence, the value of
Last updated on Jul 8, 2025
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