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 |
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中文摘要: |
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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. |
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