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The gradient of the potential energy
function is the force with a negative
sign
 
 work  (U 2  U 1 )   F  dx
2
1
Is the momentum in the infinitely deep well sharp?
For n = 1
•
In regions I and III the wave numbers are:
•
In the barrier region we have
We ignore
the drop
back to zero
For deeper insights, assume no special
restriction on L, can be infinite or very
large and finite
k  2

p  k
i.e.  is longer,
smaller
momentum and
kinetic energy