On the exact WKB analysis of operators admitting infinitely many phases. (Q1421397)
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scientific article; zbMATH DE number 2032763
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the exact WKB analysis of operators admitting infinitely many phases. |
scientific article; zbMATH DE number 2032763 |
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On the exact WKB analysis of operators admitting infinitely many phases. (English)
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26 January 2004
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The paper is devoted to the analysis of differential operators whose WKB solutions admit infinitely many phases. Therefore, a suitable class of differential operators of WKB type is introduced and their exact WKB theoretic structure near their turning points is analysed. The main tools are techniques and ideas in microlocal analysis, a quantized contact transformation and a Späth-type division theorem. The results are applied to derive a connection formula for WKB solutions near a simple turning point.
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Operator of WKB type
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Exact WKB analysis
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Infinitely many phases
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Turning point
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Stokes curve
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Connection formula
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