Non-Fiction Books:

Virtual Turning Points

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Description

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.
Release date NZ
July 21st, 2015
Audience
  • Professional & Vocational
Edition
1st ed. 2015
Illustrations
6 Illustrations, color; 41 Illustrations, black and white; XII, 126 p. 47 illus., 6 illus. in color.
Pages
126
Dimensions
155x235x8
ISBN-13
9784431557012
Product ID
23094706

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