Introduction to Quantum Mechanics · Problem 4.56

Quantum Mechanics in Three Dimensions — David J. Griffiths

Physics — Quantum Mechanics · coincident_spectral_lines

Problem

Coincident spectral lines. According to the Rydberg formula (Equation 4.93) the wavelength of a line in the hydrogen spectrum is determined by the principal quantum numbers of the initial and final states. Find two distinct pairs {ni,nf}\{n_i, n_f\} that yield the same λ\lambda. For example, {6851,6409}\{6851, 6409\} and {15283,11687}\{15283, 11687\} will do it, but you're not allowed to use those!

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