WKB / Bohr–Sommerfeld Quantization
This interactive simulator explores WKB / Bohr–Sommerfeld Quantization in Chemistry. Semiclassical bound-state energies for arbitrary V(x): harmonic, quartic, Morse, double-well, asymmetric and square wells. Bisection on the action ∫√(2m(E−V))dx = (n+½)πℏ gives the WKB ladder; compare with the exact harmonic ladder ℏω(n+½). Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: For learners comfortable with heavier math or second-level detail. Typical context: Chemistry.
Key terms
- wkb
- bohr
- sommerfeld
- quantization
- wkb bohr sommerfeld
- chemistry
How it works
Semiclassical Bohr–Sommerfeld quantization for an arbitrary 1-D potential V(x). Bisection inside the action integral ∫√(2m(E−V))dx gives the WKB ladder E_n; presets include harmonic, quartic, Morse, double well, asymmetric and square wells (ℏ = m = 1).
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