- #1
Quantum child
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Hi all,
This is the problem I want to share with you.
We have the hamiltonian H=aP+bm, which we are commuting with the position x and take:
[x,H]=ia, (ħ=1)
Ok. Now if we take, instead of x, the operator
X=Π+ x Π+ +Π-xΠ-
where Π± projects on states of positive or negative energy
the result will be:
[X,H]=iP/H
Can somebody explain me how this result comes out.
Thanks in advance
QC
This is the problem I want to share with you.
We have the hamiltonian H=aP+bm, which we are commuting with the position x and take:
[x,H]=ia, (ħ=1)
Ok. Now if we take, instead of x, the operator
X=Π+ x Π+ +Π-xΠ-
where Π± projects on states of positive or negative energy
the result will be:
[X,H]=iP/H
Can somebody explain me how this result comes out.
Thanks in advance
QC