Virtual Turning Points

• Main Authors: Honda, Naofumi (Author), Kawai, Takahiro (Author), Takei, Yoshitsugu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Tokyo : Springer Japan : Imprint: Springer, 2015.
• Series: SpringerBriefs in Mathematical Physics, 4
• Subjects: Mathematics.; Differential equations.; Mathematical physics.; Quantum physics.; Mathematical Physics.; Ordinary Differential Equations.; Quantum Physics.

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 o...

Table of Contents:

• 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.