- #1
Armani
- 8
- 0
Hi ,
I need help with the this exercise:
a) Work out all of the canonical commutation relations for components of the operators r and p:
[x,y]
[x,py]
[x,px]
[py,pz]
and so on. Answer:
[ri,pj]=−[pi,rj]=iℏδij
[ri,rj]=−[pi,pj]=0
, where the indices stand for x, y, or z and
rx=x
ry=y
rz=z
where
p^=−iℏ∂∂xFormula: [A,B]=AB-BA
Can someone give a hint?
Thanks!
I need help with the this exercise:
a) Work out all of the canonical commutation relations for components of the operators r and p:
[x,y]
[x,py]
[x,px]
[py,pz]
and so on. Answer:
[ri,pj]=−[pi,rj]=iℏδij
[ri,rj]=−[pi,pj]=0
, where the indices stand for x, y, or z and
rx=x
ry=y
rz=z
where
p^=−iℏ∂∂xFormula: [A,B]=AB-BA
Can someone give a hint?
Thanks!