Virtual Turning Points
By: and and
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- Synopsis
- 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.
- Copyright:
- 2015
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9784431557029
- Publisher:
- Springer Japan, Tokyo
- Date of Addition:
- 10/10/16
- Copyrighted By:
- Springer
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.