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Author Honda, Naofumi, author
Title Virtual turning points / by Naofumi Honda, Takahiro Kawai, Yoshitsugu Takei
Imprint Tokyo : Springer Japan : Imprint: Springer, 2015
book jacket
Descript 1 online resource (xii, 126 pages) : illustrations (some color), digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series SpringerBriefs in mathematical physics, 2197-1757 ; volume 4
SpringerBriefs in mathematical physics ; volume 4
Note 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 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
Host Item Springer eBooks
Subject Stokes equations
Mathematical Physics
Ordinary Differential Equations
Quantum Physics
Alt Author Kawai, Takahiro, author
Takei, Yoshitsugu, author
SpringerLink (Online service)
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