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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85e4b871-9d1c-4ae2-b799-fb57954f3d49%2F781088cf-54b9-43cb-8eea-ce2e3c6b14b6%2Fx6gph8b_processed.jpeg&w=3840&q=75)
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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