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I need your opinions on Zettili's solution of an exercise

  1. Sep 29, 2015 #1
    image.jpeg 1. The problem statement, all variables and given/known data
    (Uploaded photo from Zettili Quantum Mechanics - Chapter 3 - Solved problems 3.4 and 3.5)
    Check at problem 3.4 the relation that he gives between operator A and state φn.
    Now check the relation that he uses in problem 3.5 between A and φn again.
    They are different while on the announcement of prob 3.5 he does not mention any change of this relation.

    2. Relevant equations

    3. The attempt at a solution
    Is there any misprint or am i that dumb that cannot understand some change of the relation that he implies?
     
    Last edited: Sep 29, 2015
  2. jcsd
  3. Sep 29, 2015 #2

    blue_leaf77

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    I think that's not a misprint for the answer of prob 3.5 follows as a consequence of the written relation between ##\hat{A}## and ##|\phi_n\rangle## in that problem. My guess is that he forgot that in the previous problem 3.4 he defined ##|\phi_n\rangle##'s as the eigenstates of ##\hat{A}##.
     
  4. Sep 29, 2015 #3
    So, in problem 3.5 he probably wanted to change the relation between ##\hat{A}## and ##|\phi_n\rangle## to ##\hat{A}## ##|\phi_n\rangle## = n ##\alpha_o\ ## ##|\phi_{n+1}\rangle## (in order not to be anymore eigenstates of ##\hat{A}## ) but forgot to mention it?
     
  5. Sep 30, 2015 #4

    blue_leaf77

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    Yeah, probably.
     
  6. Sep 30, 2015 #5
    Thanks for your response to my issue !
     
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