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classes:2009:fall:phys4101.001:q_a_1214

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classes:2009:fall:phys4101.001:q_a_1214 [2009/12/15 14:12] – x500_nikif002classes:2009:fall:phys4101.001:q_a_1214 [2009/12/19 16:42] (current) – x500_sohnx020
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 ===chavez 09:32 12/12=== ===chavez 09:32 12/12===
 I just showed that operating <math>L_{z}</math> on <math>\psi</math> was equivalent to multiply <math>\psi</math> by a constant <math>\lambda</math>. I just showed that operating <math>L_{z}</math> on <math>\psi</math> was equivalent to multiply <math>\psi</math> by a constant <math>\lambda</math>.
 +
 +==Dark Helmet 12/15===
 +I could not think at all what to do for number one.  What it was asking was so short and simple i just had no idea how to accomplish it.
  
 === Zeno 12/14 9AM === === Zeno 12/14 9AM ===
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 ===nikif002 2:10 PM 12-15=== ===nikif002 2:10 PM 12-15===
 I am pretty sure Chavez and Zeno have it right - it's the definition of an eigenvalue, after all. What I did was convert the WF from polar to Cartesian coordinates, then operate <math>xp_y-yp_x</math> on it. You should then get a result that is a constant multiplied by the Cartesian form of the WF found earlier. I am pretty sure Chavez and Zeno have it right - it's the definition of an eigenvalue, after all. What I did was convert the WF from polar to Cartesian coordinates, then operate <math>xp_y-yp_x</math> on it. You should then get a result that is a constant multiplied by the Cartesian form of the WF found earlier.
 +
 +===prest121 6:00pm 12/16===
 +All you had to do for #1 was know that <math>L_z = -i\hbar \frac{\partial}{\partial\phi}</math>.  Thus, <math>L_z\varphi = L_z(e^{i\phi}) = -i\hbar \frac{\partial}{\partial\phi}(e^{i\phi}) = \hbar(e^{i\phi}) = \hbar\varphi</math>.  This is the definition of an eigenvalue.
 +
 +===Dark Helmet 12/15 12:00===
 +I really liked problem 2.  The fact that we could probe ANY quantum mechanincs relation made it really really simple.  All i did was show that the eqigenstates of the spin matrices still were plus or minus hbar/2 and i got full credit.
  
 ==== Aspirin ==== ==== Aspirin ====
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 ===Pluto 4ever 12/14=== ===Pluto 4ever 12/14===
 From what Yuichi said, the test will cover Ch. 1-4 and 6. Apparently, we shouldn't expect anything from Ch. 5 since we really did not do anything with that section.  From what Yuichi said, the test will cover Ch. 1-4 and 6. Apparently, we shouldn't expect anything from Ch. 5 since we really did not do anything with that section. 
 +
 +===Devlin 12/15===
 +I remember him saying that as well--that the final covers 1-4 and 6.
 +===Andromeda 12/15 ===
 +is there ganna be a practice tests for final as well?
 +
 +===Dark Helmet 12/15 12:00===
 +Is it all of 6?  Or just some sections?
 +
 +===Yuichi===
 +This kind of forum does not seem a good way to pin down this type of info.  Misinformation seems to go around and around.
 +
 +Setion 5.1 WILL BE included in the final, though 5.2 and later sections won't be.
 +
 +Hyperfine structure will also be excluded from Chap. 6.
 +
  
 ====Blackbox 12/15==== ====Blackbox 12/15====
 What is the meaning of "good" states coming from the first line of the discussion question? What is the meaning of "good" states coming from the first line of the discussion question?
  
 +===Pluto 4ever 12/15===
 +I'm not entirely sure, but I think it means where the states are eigenfunctions of <math>J_z</math>, <math>L_z</math>, and <math>S_z</math>.
 +==Yuichi==
 +Think again.
 +===Andromeda 12/15/09 8pm===
 +i thought it meant states(combination of vectors) that will give you a diagonal matrix at the end instead of states that will have off-diagonal parts as well. not sure though!
  
 +=== Blackbox ===
 +Thanks, but I'm still confused. Based on your explanation, "good" states seems like to have only diagonal terms in the matrix. I thought that it has some relation with a balance of fine structure and zeeman effect.
  
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classes/2009/fall/phys4101.001/q_a_1214.1260907948.txt.gz · Last modified: 2009/12/15 14:12 by x500_nikif002

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