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Virtual Turning Points
eBook - SpringerBriefs in Mathematical Physics
ISBN/EAN: 9784431557029
Umbreit-Nr.: 9283761
Sprache:
Englisch
Umfang: 0 S., 3.46 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 07.07.2015
Auflage: 1/2015
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- <p>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 Painlevé equations of the NoumiYamada type and to the analysis of non-adiabatic transition probability problems in three levels.</p><p>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<i>Journal of Mathematical Physics</i> indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary.</p>