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Field name	Details
Dewey Class	530.15
Title	Virtual Turning Points ([EBook]) / by Naofumi Honda, Takahiro Kawai, Yoshitsugu Takei.
Author	Honda, Naofumi. , 1963-
Added Personal Name	Kawai, Takahiro
Added Personal Name	Takei, Yoshitsugu
Other name(s)	SpringerLink (Online service)
Publication	Tokyo : Springer Japan , 2015.
Physical Details	XII, 126 pages : 47 illus., 6 illus. in color. : online resource.
Series	SpringerBriefs in Mathematical Physics 2197-1757 ; ; 4
ISBN	9784431557029
Summary Note	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.:
Contents 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-4-431-55702-9
Links to Related Works	Subject References: Differential equation . Mathematical Physics . Ordinary differential equations . Quantum Physics . Stokes equations . Authors: author . Honda, Naofumi. 1963- . Kawai, Takahiro . Takei, Yoshitsugu . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematical Physics . Classification: 530.15 .

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Virtual Turning Points

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