PROBLEM 2. Consider a spherical potential well of radius R and depth Uo, so that the potential is U(r) = -Uo at r < R and U(r) = 0 at r > R. Calculate the minimum value of U, for which the well can trap a particle with l = 0. This means that SE at Uo > Uc has at least one bound ground state at 1 = 0 and E < 0. At Uo = Uc the bound state disappears.
PROBLEM 2. Consider a spherical potential well of radius R and depth Uo, so that the potential is U(r) = -Uo at r < R and U(r) = 0 at r > R. Calculate the minimum value of U, for which the well can trap a particle with l = 0. This means that SE at Uo > Uc has at least one bound ground state at 1 = 0 and E < 0. At Uo = Uc the bound state disappears.
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Transcribed Image Text:PROBLEM 2. Consider a spherical potential well of radius R and depth Uo,
so that the potential is U(r) = -Uo at r < R and U(r) = 0 at r > R.
Calculate the minimum value of Uc for which the well can trap a particle
with l = 0. This means that SE at Uo > Uc has at least one bound ground
state at l = 0 and E < 0. At Ug = Uc the bound state disappears.
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