-Va V(r) - ) Find the ground state by solving the radial cquation for 1 – 0. ) Show that there are no bound states in the case where Voa? < (Th)*/8m. Hint: note that to solve the problem you obtain a transcendental equation which you must solve numerically. Use the change of variable 2 = av2mVo/h, z = av-2mE/h.

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A particle of mass m is found in a finite spherical potential well of the form
S-Va
V(r) =
(1) F'incd the: gronnd state by solving the radial cquation for !– 0.
(b) Show that there are no bound states in the case where Voa² < (Th) /8m.
Hint: note that to solve the problem you obtain a transcendental equation which you
must solve numerically. Use the change of variable 20 = av
av2mVa/h, z = av-2mE/h.
Transcribed Image Text:A particle of mass m is found in a finite spherical potential well of the form S-Va V(r) = (1) F'incd the: gronnd state by solving the radial cquation for !– 0. (b) Show that there are no bound states in the case where Voa² < (Th) /8m. Hint: note that to solve the problem you obtain a transcendental equation which you must solve numerically. Use the change of variable 20 = av av2mVa/h, z = av-2mE/h.
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