quiz_Ylm - 2 ψ and L z ψ(Which of these ψ's are...

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(Name not required) Physics 3220  "QUIZ"  ( Not for credit , just to learn from!)   To start, this will be CLOSED BOOK, CLOSED NOTES, CLOSED MOUTHS. (This will change in a few minutes! But try it first on your own.)               A) In the space below, write a brief summary of our last class (Wed): what were the *key ideas*?  (Note:  you are writing this for a fellow 3220 student, not for me!)  B) For the 3 wave functions  ψ  given below, find L
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Unformatted text preview: 2 ψ and L z ψ . (Which of these ψ 's are eigenfunctions of L 2 ? L z ?) 1) ψ = Ψ ( θ , φ 29 229 = ( ρε-ρ /2 α 29 1-1 ( , 29 329 = 1 3 ( , 29 + 2 3 1 ( , 29 C) Given = 1 3 Y 1 1 ( q , f ) + 2 3 Y 1 ( q , f ) , if you measure L z , what values can you find, with what probabilities? How about if you measure L 2 ? What are the expectation values of these two operators? <L 2 > = <L z > =...
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