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 Incoming links: First excited hydrogen eigenspace

Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 33C / c / Solution Created 2026-09-24 Updated 2026-09-25

The first excited hydrogen eigenspace is the four-dimensional

n = 2

{∣2, 0, 0 ⟩, ∣2, 1, - 1 ⟩, ∣2, 1, 0 ⟩, ∣2, 1, 1 ⟩} .

The first vector is the

2 s

state and the other three are the

2 p

states. All have the same unperturbed energy

E_{2}

.

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