WEKO3
アイテム
Exponential Decay of Quasi-stationary States of Time-periodic Schrodinger Equation with Short Range Potentials
https://doi.org/10.15083/00040987
https://doi.org/10.15083/0004098742379517-3f62-4be8-8bf3-578526174503
名前 / ファイル | ライセンス | アクション |
---|---|---|
![]() |
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2008-11-19 | |||||
タイトル | ||||||
タイトル | Exponential Decay of Quasi-stationary States of Time-periodic Schrodinger Equation with Short Range Potentials | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.15083/00040987 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Yajima, Kenji
× Yajima, Kenji |
|||||
著者所属 | ||||||
著者所属 | Department of Pure and Applied Sciences, College of Arts and Sciences, University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A solution $u(t,x)\in C(R_l^1,L^2(R)_x^N))$ to a time dependent Schrodinger equation $i(\partial U/\partial t)=-\Delta u+v(t,x)u$ with time periodic potential $V(t+2\pi ,x)=V(t,x)$ is called quasi-stationary state with quasi-level λ if it satisfies $u(t-2\pi ,x)=V(t,x)=exp(-2\pi i\lambdau(t,x)$. We show, under the condition $(1+\mid x \mid )^(1+\epsilon) V(t,x)\in C^1(R_l^1,L^(\infty )(R_x^N))$, that every non-threshold quasi-stationary state decays exponentially at infinity in the sense that exp $(\alpha \mid x \mid )u(t,x)\in C^1(R_l^1,L^2(R_x^N))$ for $\alpha ^2<1-(\lambda - [\lambda ]),$ if \lambda is its quasilevel, where [\lambda ] is the integral part of \lambda . | |||||
書誌情報 |
Scientific papers of the College of Arts and Sciences, the University of Tokyo 巻 40, p. 27-36, 発行日 1990 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 02897520 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA10538733 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
主題Scheme | NDC | |||||
出版者 | ||||||
出版者 | The University of Tokyo |