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WKB approximation without divergences. (English) Zbl 0901.34056

Summary: The WKB approximation to scattering problems is developed without the divergence which usually appear at classical turning points. A detailed procedure of complexification is shown to generate results identical to the usual WKB prescription, but without the cumbersome connection formulas.

MSC:

34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
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References:

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