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Semiclassical action integral ( $f (E)$ )

The semiclassical action integral

f (E) = \int_{a (E)}^{b (E)} E - V (x) d x

is strictly increasing for a confining one-dimensional potential. Consequently the two-turning-point WKB quantization condition has at most one energy at each quantum number.

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- Action integral for a linear-to-square-root potential Semiclassical action integral 28

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