Virtual Turning Points (Paperback, 1st ed. 2015)

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.

General

Imprint:	Springer Verlag,Japan
Country of origin:	Japan
Series:	SpringerBriefs in Mathematical Physics, 4
Release date:	July 2015
First published:	2015
Authors:	Naofumi Honda • Takahiro Kawai • Yoshitsugu Takei
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	126
Edition:	1st ed. 2015
ISBN-13:	978-4-431-55701-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	4-431-55701-6
Barcode:	9784431557012

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