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Virtual turning points [electronic resource]
- 作者： Honda, Naofumi.
- 其他作者：
- 其他題名：
- SpringerBriefs in mathematical physics,
- 出版： Tokyo : Springer Japan :Imprint: Springer
- 叢書名： SpringerBriefs in mathematical physics,v.4
- 主題： Stokes equations. , Mathematics , Mathematical physics , Ordinary Differential Equations. , Quantum Physics.
- ISBN： 9784431557029 (electronic bk.) 、 9784431557012 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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.
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讀者標籤：
- 系統號： 005135423 | 機讀編目格式
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