Virtual turning points
The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painleve equations of the Noumi-Yamada type and to the analysis o...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Tokyo, Heidelberg, New York, Dordrecht, London
Springer
2015
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| Schriftenreihe: | SpringerBriefs in mathematical physics
volume 4 |
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| Online Zugang: | Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis Verlagsangaben |
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Tag hinzufügen | Zusammenfassung: | The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painleve equations of the Noumi-Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order differential equations had been thought to be impossible to construct. In 1982, however, H.L. Berk, W.M. Nevins, and K.V. Roberts published a remarkable paper in the Journal of Mathematical Physics indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary. |
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| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xii, 126 Seiten Illustrationen |
| ISBN: | 4431557024 4-431-55702-4 9784431557012 978-4-431-55701-2 4431557016 4-431-55701-6 |