(a)Prove the three-dimensional virial theorem:
[4.190]
(for stationary states). Hint: Refer to Problem 3.31.
(b) Apply the virial theorem to the case of hydrogen, and show that
T
= -En;
V
= 3En [4.191]
(c) Apply the virial theorem to the three-dimensional harmonic oscillator (Problem 4.38), and show that in this case
T
=
V
= En/2 [4.192]
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