What does the virial theorem tell us? - TimesMojo
What does the virial theorem tell us? - TimesMojo
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SOLVED:(a) Prove the three-dimensional virial theorem: 2⟨T⟩=⟨𝐫 ·∇V⟩(for stationary states). Hint: refer to Problem 3.37 . (b) Apply the virial theorem to the case of hydrogen, and show that ⟨T⟩=-En ; ⟨V⟩=2 En. (c) Apply the virial theorem to the three-dimensional harmonic oscillator (Problem 4.46), and show that in this case ⟨T⟩=⟨V⟩=En / 2.
SOLVED:(a) Prove the three-dimensional virial theorem: 2⟨T⟩=⟨𝐫 …
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