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Virtual Turning Points

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Virtual Turning Points/ by Naofumi Honda, Takahiro Kawai, Yoshitsugu Takei.
Author:	Honda, Naofumi.
other author:	Kawai, Takahiro.
Description:	XII, 126 p. 47 illus., 6 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-4-431-55702-9
ISBN:	9784431557029

Virtual Turning Points
Honda, Naofumi.

Virtual Turning Points[electronic resource] /by Naofumi Honda, Takahiro Kawai, Yoshitsugu Takei. - 1st ed. 2015. - XII, 126 p. 47 illus., 6 illus. in color.online resource. - SpringerBriefs in Mathematical Physics,42197-1757 ;. - SpringerBriefs in Mathematical Physics,8.

1. Definition and basic properties of virtual turning Points -- 2. Application to the Noumi-Yamada system with a large Parameter -- 3. Exact WKB analysis of non-adiabatic transition problems for 3-levels -- A. Integral representation of solutions and the Borel resummed WKBsolutions.

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.

ISBN: 9784431557029

Standard No.: 10.1007/978-4-431-55702-9doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QA401-425

Dewey Class. No.: 530.15

Virtual Turning Points
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