摘要
关于算子─（△—ia）￣２＋Ⅴ的性质（Ⅰ）余开奇，马吉薄（南京航空航天大学数理力学系，２１００１６）（南京大学数学系，２１０００８）关键词自伴算子，本质自扩张，Ｓｃｈｒｏｄｉｕｇｅｒ算子．分类号ＡＭｓ（１９９１）４７Ｆ０５，４７Ｂ８０／ＣＣＬＯ１７７．...
In this paper,we consider Schrodinger forms (operators) with singular magnetic vectorpotentials ─(─)￣2+Ⅴ. We prove that when the negative part V_of electric potentialV satisfies.independentof V and =(a_1,a_2,…,a_N)∈ ─(─)￣2+Ⅴ has essential self-adjointextension F and it is the only self-adjoint realization of ─(─)￣2+Ⅴ. Moreover,We consider the continuity of respect to a and V in the sense of strong resolvent.
关键词
自伴算子
本质自扩张
薛定谔算子
self-adjoint operator,essential self-adjoint extension, Schrodinger operators
