Bohr–Sommerfeld, WKB, and modified semiclassical quantization rules
- 1 February 1986
- journal article
- Published by American Association of Physics Teachers (AAPT) in American Journal of Physics
- Vol. 54 (2) , 131-134
- https://doi.org/10.1119/1.14707
Abstract
The WKB approximation for energy eigenvalues can be advantageously introduced to students when the Bohr–Sommerfeld quantization rule is discussed. A simple heuristic derivation of these quantization rules is given. Exceptional cases occur when conditions necessary for the validity of semiclassical approximations are violated, but appropriate modifications can still provide useful semiclassical approximations even in such cases. Various situations are illustrated by examples.Keywords
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