Langer Correction

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The **Langer correction** is a correction when WKB approximation method is applied to three-dimensional problems with spherical symmetry.

When applying WKB approximation method to the radial SchrÃ¶dinger equation

In 1937, Rudolph E. Langer suggested a correction

By such a changing of constant term in the effective potential, the results obtained by WKB approximation reproduces the exact spectrum for many potentials.

## References

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When applying WKB approximation method to the radial SchrÃ¶dinger equation

- <math> -frac frac + R(r) = 0 </math>

- <math>V_(r)=V(r)-frac</math>

In 1937, Rudolph E. Langer suggested a correction

- <math>l(l+1) rightarrow left(l+fracright)^2</math>

By such a changing of constant term in the effective potential, the results obtained by WKB approximation reproduces the exact spectrum for many potentials.

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