Virtual Turning Points - Couverture souple

Honda, Naofumi

Couverture souple

ISBN 10 : 4431557016 ISBN 13 : 9784431557012

Editeur : Springer, 2015

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 4431557016
• ISBN 13: 9784431557012
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 140
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne