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Uncertainty principle (stationary state)

  1. Nov 15, 2015 #1
    I have to derive 11 15 2015 4 21 AM Office Lens.jpg
    I did all the way but stuck with the ">=" to "=" sign. what is the logic behind it ? is it safe to write "approximate" while taking the square-root on both side ? or the energy term "V" has gone during the calculation so it has only momentum "p" ?
     
  2. jcsd
  3. Nov 15, 2015 #2

    vanhees71

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    It should be a ##\geq## sign. Concerning the homework (you should post in the homework section!) think about what's the commutator between ##\hat{x}## and ##\hat{H}## and what it has to do with the general Heisenberg uncertainty relations for arbitrary pairs of observables!
     
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