For the eigen states of the hydrogen atom, which of the following relations between the expectation value of kinetic energy (T) and potential (V) holds true?
(a)$\mathrm{T}=\mathrm{V}$
(b)$2 \mathrm{T}=-\mathrm{V}$
(c)$2 \mathrm{T}=\mathrm{V}$
(d)$\mathrm{T}=-2 \mathrm{V}$
Answer
Answer: B ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
For a Coulomb (1/r) potential the virial theorem gives 2⟨T⟩ = −⟨V⟩ (E = −⟨T⟩ = ⟨V⟩/2).