The Bohr-Sommerfeld quantization condition can be rigorously derived using semiclassical asymptotic methods.
Is it true that the Bohr-Sommerfeld quantization condition can be rigorously derived using semiclassical asymptotic methods?
Yes. The Bohr-Sommerfeld quantization condition can indeed be rigorously justified and derived using modern semiclassical asymptotic methods and WKB approximations.
Verdict: SUPPORTED · 3 sources for, 0 against · Last checked
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.
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Yafaev, D. (2010). The semiclassical limit of eigenfunctions of the Schr\"odinger equation and the Bohr-Sommerfeld quantization condition, revisited. doi.org. https://doi.org/10.1090/S1061-0022-2011-01183-5
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Geldart, D. J. W. & Kiang, D. (1986). Bohr–Sommerfeld, WKB, and modified semiclassical quantization rules. doi.org. https://doi.org/10.1119/1.14707
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Barley, K., Ruffing, A., & Suslov, S. (2025). Old quantum mechanics by Bohr and Sommerfeld from a modern perspective. doi.org. https://doi.org/10.3367/UFNe.2025.08.040014
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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.
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