Erschienen: 21.07.2015 Abbildung von Honda / Kawai / Takei | Virtual Turning Points | 1st ed. 2015 | 2015 | 4

Honda / Kawai / Takei

Virtual Turning Points

1st ed. 2015 2015. Buch. xii, 126 S. 41 s/w-Abbildungen, 6 Farbabbildungen, Bibliographien. Softcover

Springer. ISBN 9784431557012

Format (B x L): 15,5 x 23,5 cm

Gewicht: 270 g

In englischer Sprache

Das Werk ist Teil der Reihe: SpringerBriefs in Mathematical Physics; 4

Produktbeschreibung

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 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.

Autoren

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