| 書目名稱 | Virtual Turning Points | | 編輯 | Naofumi Honda,Takahiro Kawai,Yoshitsugu Takei | | 視頻video | http://file.papertrans.cn/984/983391/983391.mp4 | | 概述 | Is the first book that expounds a virtual turning point, a new and important notion in WKB analysis.Contains essential know-how in its concrete treatment of the theory of virtual turning points, writt | | 叢書名稱 | SpringerBriefs in Mathematical Physics | | 圖書封面 |  | | 描述 | .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.. | | 出版日期 | Book 2015 | | 關(guān)鍵詞 | Borel transformation; a bicharacteristic curve; a new Stokes curve; a virtual turning point; exact WKB a | | 版次 | 1 | | doi | https://doi.org/10.1007/978-4-431-55702-9 | | isbn_softcover | 978-4-431-55701-2 | | isbn_ebook | 978-4-431-55702-9Series ISSN 2197-1757 Series E-ISSN 2197-1765 | | issn_series | 2197-1757 | | copyright | The Author(s) 2015 |
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