Questions tagged [perturbation-theory]
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2
questions
6
votes
1answer
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Is the correct zeroth-order wave function $\phi^{(0)}$ an eigenfunction of the perturbation Hamiltonian $H'$?
Consider the perturbation treatment of He $1s2s$ excited state configuration. The quantum mechanical Hamiltonian for the He-atom is:
\begin{aligned}
\hat{H} = \sum_{i=1}^2 h_i + \frac 1 {r_{1 2}} \\
...
0
votes
1answer
67 views
Proof for second-order perturbation term of energy
In perturbation theory, if
\begin{align}{\hat {H}} &= {\hat {H}^{(0)}} + λ{\hat {H}^{(1)}} \tag{1}\\
{ψ} &= {ψ^{(0)}} + λ{ψ^{(1)}} +λ^2{ψ^{(2)}} + ... \tag{2}\\
{E} &= {E^{(0)}} + λ{E^{...
