Exact WKB Analysis of Schrödinger Equations with a Stokes Curve of Loop Type
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- Aoki Takashi
- Kindai University
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- Iwaki Kohei
- Nagoya University
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- Takahashi Toshinori
- Kindai University
説明
<p>Stokes phenomena with respect to a large parameter are investigated for Shrödinger-type ordinary differential equations having a Stokes curve of loop-type. For this purpose, we employ a Bessel-type equation as a canonical form and compute the Voros coefficient of the equation. Combining the formula describing the Stokes automorphism for the Voros coefficient and the formal coordinate transformation connecting the Shrödinger-type equation and the Bessel-type equation, we have some formulas describing the action of alien derivatives and Stokes automorphism for WKB solutions of the Shrödinger-type equation.</p>
収録刊行物
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- Funkcialaj Ekvacioj
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Funkcialaj Ekvacioj 62 (1), 1-34, 2019
日本数学会函数方程式論分科会
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詳細情報 詳細情報について
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- CRID
- 1390564238091876736
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- NII論文ID
- 130007649857
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- ISSN
- 05328721
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE
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- 抄録ライセンスフラグ
- 使用不可
