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Homework Help: Yukawa Potential

  1. May 2, 2007 #1
    1. The problem statement, all variables and given/known data

    A particle moves under the Yukawa Potential of (-alpha)*exp(-kr)/r where k is real. Discuss all possible shapes of the effective potential. At what values of angular momentum L can the particle move in the potential with finite/bounded motion

    3. The attempt at a solution

    The first part, I can sort of do, but there's so many combination of shapes, since we are saying here alpha & k could be greater or less than zero or equal to zero. The second part concerning angular momentum I am totally at a loss


    The Keck
  2. jcsd
  3. May 2, 2007 #2
    just graph it and look! :)
  4. May 2, 2007 #3

    Meir Achuz

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    Angular momentum gives a 1D potential L(L+1)/2mr^2.
    For high enough L, the total potentiall will have no negative part.
  5. Mar 25, 2009 #4
    I wish to have more information regarding how you come to calculate l(l+1)/2mr^2 as a angular momentum for yukawa potential
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