ダン ユウヤ
DAN Yuya
檀 裕也 所属 松山大学 経営学部 経営学科 職種 教授 |
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言語種別 | 英語 |
発行・発表の年月 | 2011/10 |
形態種別 | 学術論文 |
査読 | 査読有り |
標題 | A Note on the Relation between Potential Terms and Metric Matrices |
執筆形態 | 単著 |
掲載誌名 | General Mathematics Notes |
巻・号・頁 | 6(2),pp.1-11 |
概要 | The purpose of this paper is to introduce representation of kinetic fields in Schrödinger equations and to give the relation between potential terms and metric matrices via general structure of spaces rather than Euclidean spaces. We obtain two results from the point of view in Fourier analysis and pseudodifferential operators. One is the derivation of the potential terms in Schrödinger equations from the representation of kinetic fields by metric matrices in Schrödinger type equation, the other is the derivation the metric matrices in Schrödinger type equation from the potential terms in Schrödinger equation in the one-dimensional Euclidean space. |