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| j.aim.2014.02.026.pdf | 441.63 kB | Adobe PDF | 見る/開く |
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| DCフィールド | 値 | 言語 |
|---|---|---|
| dc.contributor.author | Kamimoto, Shingo | en |
| dc.contributor.author | Kawai, Takahiro | en |
| dc.contributor.author | Takei, Yoshitsugu | en |
| dc.contributor.alternative | 神本, 晋吾 | ja |
| dc.date.accessioned | 2014-08-01T00:47:34Z | - |
| dc.date.available | 2014-08-01T00:47:34Z | - |
| dc.date.issued | 2014-08 | - |
| dc.identifier.issn | 0001-8708 | - |
| dc.identifier.uri | http://hdl.handle.net/2433/189264 | - |
| dc.description.abstract | We develop the exact WKB analysis of an M2P1T (merging two simple poles and one simple turning point) Schrödinger equation. Our emphasis is put on the analysis of the singularity structure of its Borel transformed WKB solutions near fixed singular points relevant to the two simple poles contained in the potential of the equation. In Part I, we focus our attention on the construction and analytic properties of a WKB-theoretic transformation that transforms an M2P1T equation to an algebraic Mathieu equation. That transformation plays an important role in Part II ([7]) when we discuss the singularity structure of Borel transformed WKB solutions of an M2P1T equation. | en |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | eng | - |
| dc.publisher | Elsevier Inc. | en |
| dc.rights | © 2014 Elsevier Inc. | en |
| dc.rights | This is not the published version. Please cite only the published version. | en |
| dc.rights | この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 | ja |
| dc.subject | Exact WKB analysis | en |
| dc.subject | M2P1T operator | en |
| dc.subject | Mathieu equation | en |
| dc.subject | Legendre equation | en |
| dc.subject | Alien derivative | en |
| dc.subject | Microdifferential operator | en |
| dc.subject | Exponential calculus | en |
| dc.title | Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point, I -- Its WKB-theoretic transformation to the Mathieu equation | en |
| dc.type | journal article | - |
| dc.type.niitype | Journal Article | - |
| dc.identifier.ncid | AA00513055 | - |
| dc.identifier.jtitle | Advances in Mathematics | en |
| dc.identifier.volume | 260 | - |
| dc.identifier.spage | 458 | - |
| dc.identifier.epage | 564 | - |
| dc.relation.doi | 10.1016/j.aim.2014.02.026 | - |
| dc.textversion | author | - |
| dcterms.accessRights | open access | - |
| 出現コレクション: | 学術雑誌掲載論文等 | |
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