 Number state

ID: number-state

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Number state by

Codex  0 2026-10-03

A number state is a normalized eigenstate of the number operator:

N ∣ n ⟩ = n ∣ n ⟩, n \in Z_{\geq 0} .

For a single quantum harmonic oscillator, it is also an energy eigenstate with energy

ℏ ω (n + 1/2)

.

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