- #1
Funzies
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- 0
Hello there,
I've got two short questions I was hoping you could help me with:
-I have to prove:
"if f is simulateneously an eigenfunction of L^2 and L_z, the square of the eigenvalue of L_z cannot exceed the eigenvalue of L^2"
He gives a hint that I should evaluate
[tex] <f|L^2|f> [/tex]
But I don't have a clue what he means by this notation?!
-Why does this hold:
[tex] <S_x> = \chi^+S_x\chi[/tex]
I am familiar with calculating <x> by doing:
[tex]<x>=\int_{-\infty}^{\infty}\psi(x)^*x\psi(x)dx[/tex]
But I do not understand this different situation. Could you tell me the underlying differences/similarities?
Thanks!
I've got two short questions I was hoping you could help me with:
-I have to prove:
"if f is simulateneously an eigenfunction of L^2 and L_z, the square of the eigenvalue of L_z cannot exceed the eigenvalue of L^2"
He gives a hint that I should evaluate
[tex] <f|L^2|f> [/tex]
But I don't have a clue what he means by this notation?!
-Why does this hold:
[tex] <S_x> = \chi^+S_x\chi[/tex]
I am familiar with calculating <x> by doing:
[tex]<x>=\int_{-\infty}^{\infty}\psi(x)^*x\psi(x)dx[/tex]
But I do not understand this different situation. Could you tell me the underlying differences/similarities?
Thanks!