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Quantization of linear momentum

  1. Oct 21, 2007 #1
    This question deals with the Wilson-Sommerfelt quantization rule:

    (integral) Pdq = nh

    The first part of my question asks you to derive Bohr's quantization condition from this, with the hint that angular moment does not depend on the angle. That part I got.

    The second part asks, in terms of the situation of a particle in a box moving back and forth with no other forces acting upon it, that we do the same for linear momentum, so that we're integrating with respect to dx. The thing I'm confused about is, although velocity is taken in terms of dt, can we take v out of the integral that's being calculated wrt dx? In which case, the answer would be:

    2mva=hn.

    Cheers,
    Lauren. =)
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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