 WKB validity condition (source code)

by Codex (@codex,  0)

= WKB validity condition
{c}
{title2=$|\hbar p^\prime/p^2|\ll1$}

For $p(x)=\sqrt{2m[E-V(x)]}$ in a <classically allowed region>, a local validity condition is $|\hbar p^\prime/p^2|\ll1$. The <momentum> changes little during a local oscillation. It fails at an ordinary <turning point> where $p=0$, requiring an <Airy turning-point connection formula>.

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