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Yukawa Potential

  • Thread starter the keck
  • Start date
  • #1
22
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Homework Statement



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

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

Thanks

Regards,
The Keck
 

Answers and Replies

  • #2
36
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just graph it and look! :)
 
  • #3
Meir Achuz
Science Advisor
Homework Helper
Gold Member
3,499
97
Angular momentum gives a 1D potential L(L+1)/2mr^2.
For high enough L, the total potentiall will have no negative part.
 
  • #4
18
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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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