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Virtual Turning Points

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...

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Bibliographic Details
Main Authors: Honda, Naofumi. (Author, http://id.loc.gov/vocabulary/relators/aut), Kawai, Takahiro. (http://id.loc.gov/vocabulary/relators/aut), Takei, Yoshitsugu. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Tokyo : Springer Japan : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:SpringerBriefs in Mathematical Physics, 4
Subjects:
Mathematical physics.
Differential equations.
Quantum physics.
Mathematical Physics.
Ordinary Differential Equations.
Quantum Physics.
Online Access:https://doi.org/10.1007/978-4-431-55702-9
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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.

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