| 余开奇,马吉薄.关于算子─（▽—ia）2＋Ⅴ的性质（Ⅰ）[J].数学研究及应用,1995,15(4):533~539 |
| 关于算子─（▽—ia）2＋Ⅴ的性质（Ⅰ） |
| On Properties of the Operato ─(▽—ia）2+Ⅴ(Ⅰ) |
| 投稿时间：1992-10-31 修订日期：1994-04-25 |
| DOI：10.3770/j.issn:1000-341X.1995.04.009 |
| 中文关键词: 自伴算子 本质自扩张 Schr?diuger算子 |
| 英文关键词:self-adjoint operator essential self-adjoint extension Schrodinger operators |
| 基金项目: |
|
| 摘要点击次数: 1948 |
| 全文下载次数: 871 |
| 中文摘要: |
| |
| 英文摘要: |
| In this paper,we consider Schrodinger forms (operators) with singular magnetic vectorpotentials ─(▽—ia）2+Ⅴ. We prove that when the negative part V_ of electric potentialV satisfies(?) in dependentof V and a=(a1,a2,…,aN)∈Lloc2(RN)N, ─(▽—ia）2+Ⅴ has essential self-adjointextension F and it is the only self-adjoint realization of ─(▽—ia）2+Ⅴ. Moreover,We consider the continuity of (a,V) respect to a and V in the sense of strong resolvent. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
