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the claim
The Bohr-Sommerfeld quantization condition can be rigorously derived using semiclassical asymptotic methods.
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
3 sources for · 0 against

The Bohr-Sommerfeld quantization condition can indeed be rigorously justified and derived using modern semiclassical asymptotic methods and WKB approximations.

Evidence for · 3
The semiclassical limit of eigenfunctions of the Schr\"odinger equation and the Bohr-Sommerfeld quantization condition, revisited
2010 · cited by 28
Paper [0] explicitly justifies the semiclassical asymptotics of eigenfunctions and recovers the Bohr-Sommerfeld quantization condition.
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The analysis

The retrieved literature consistently confirms that the Bohr-Sommerfeld quantization condition arises naturally and can be rigorously justified from the semiclassical limit of the Schrödinger equation and wave mechanics.

More for · 2
Bohr–Sommerfeld, WKB, and modified semiclassical quantization rules
1986 · cited by 10
Paper [1] discusses the derivation of energy eigenvalues using WKB and Bohr-Sommerfeld quantization rules within semiclassical approximations.
Old quantum mechanics by Bohr and Sommerfeld from a modern perspective
2025 · cited by 6
Paper [2] reviews the mathematical derivation of quantization rules and energy levels of the old quantum mechanics using modern semiclassical methods.
The paper trail · every fact has a biography
first checked04 Aug 2026
judged → SUPPORTED · 8404 Aug 2026
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