Complex WKB method for difference equations with meromorphic coefficients

被引:0
作者
Fedotov, A. [1 ]
Klopp, F. [2 ,3 ,4 ]
机构
[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia
[2] UPMC Univ Paris 06, Sorbonne Univ, IMJ PRG, UMR 7586, F-75005 Paris, France
[3] Univ Paris Diderot, Sorbonne Paris Cite, IMJ PRG, UMR 7586, F-75205 Paris, France
[4] CNRS, UMR 7586, IMJ PRG, F-75005 Paris, France
来源
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD) 2017 | 2017年
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中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We discuss one-dimensional difference Schrodinger equations in the complex plane. To study their solutions in the quasiclassical limit, V. Buslaev, A. Fedotov and E. Shchetka developed an analog of the complex WKB method. We consider the equation with a potential having a simple pole and study the asymptotics of its solutions in a neighborhood of this pole.
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页码:110 / 112
页数:3
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