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Need Help (not Homework question)

  1. Feb 6, 2009 #1
    Hey everyone. I would love for someone to show me quite clearly how to derive [tex]\Delta[/tex]x[tex]\Delta[/tex]p[tex]\geq[/tex][tex]\frac{\hbar}{2}[/tex] and separately how to derive the Schrodinger Equation both from using the [x,p] commutator. With [tex]\hat{x}[/tex]=i[tex]\hbar[/tex][tex]\frac{\partial}{\partial p}[/tex] and [tex]\hat{p}[/tex]=p (in momentum space). Thanks in advance for anyone's help!
     
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  3. Feb 6, 2009 #2

    malawi_glenn

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    i am actually planning to write both those derivation in LaTeX tomorrow, since those are very frequently asked questions.
     
  4. Feb 6, 2009 #3
    Awesome! Thanks so much. If it wouldn't be too much to ask, maybe you could post a link to it in this thread? Thanks again!
     
  5. Feb 6, 2009 #4
    The derivation can be found in Sakurai. There is an equation relating the product of the uncertainties of two conjugate operators to the commutator of the operators. Substituting the [x,p] commutator yields the HUP.
     
  6. Feb 6, 2009 #5

    malawi_glenn

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    the derivations can be found in almost any QM textbook
     
  7. Feb 10, 2009 #6
    So I looked throughout my quantum textbook but there is not a derivation of these two processes specifically in there. malawi_glenn, I was wondering if you were able to LaTeX those fellas yet or not. Thanks for your time.
     
  8. Feb 10, 2009 #7

    malawi_glenn

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    which book do you have? I have sakurai - modern QM, and it derives both HUP and SE. In my opinion, it is THE quantum mechanics textbook. But since it is dealing with a second course in QM, it requires "the basics" so in that opinion "Quantum Mechanics - a modern development " by ballentine is better, but if you can a copy of sakurais book - you have everything you need.

    Well we got some library items done on the HUP atleast, shrödinger will be next weekend.

    There are a lot of old threads regarding the derivation of SE, you can search for those meanwhile.

    This is the item I did, https://www.physicsforums.com/library.php?do=view_item&itemid=207 you perhaps need to study the three first items under "see also" (to the right) which I also did.

    Enjoy, and please tell me/us is a step which you can't understand.
     
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