- #1
Laura08
- 3
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Hello, sorry I am new to this forum, I hope I found the right category. I have a question about the momentum operator as in Sakurai's "modern quantum mechanics" on p. 196
If I let
[tex] 1-\frac{i}{\hbar} d\phi L_{z} = 1-\frac{i}{\hbar} d\phi (xp_{y}-yp_{x})[/tex]
act on an eigenket [itex]| x,y,z \rangle [/itex]
why do I get [itex]| x-yd\phi,y+xd\phi,z \rangle [/itex]
and not [itex]| x+yd\phi,y-xd\phi,z \rangle [/itex] ,
with the momentum operators
[tex] p_{x}=\frac{\hbar}{i}\frac{\partial}{\partial x} , p_{y}=\frac{\hbar}{i}\frac{\partial}{\partial y}[/tex]
Thanks for your help!
If I let
[tex] 1-\frac{i}{\hbar} d\phi L_{z} = 1-\frac{i}{\hbar} d\phi (xp_{y}-yp_{x})[/tex]
act on an eigenket [itex]| x,y,z \rangle [/itex]
why do I get [itex]| x-yd\phi,y+xd\phi,z \rangle [/itex]
and not [itex]| x+yd\phi,y-xd\phi,z \rangle [/itex] ,
with the momentum operators
[tex] p_{x}=\frac{\hbar}{i}\frac{\partial}{\partial x} , p_{y}=\frac{\hbar}{i}\frac{\partial}{\partial y}[/tex]
Thanks for your help!