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:
作者单位
余开奇 南京航空航天大学数理力学系 
马吉薄 南京大学数学系 
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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.
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